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Full-Text Articles in Physical Sciences and Mathematics

Simulating Continuous Gravitational Waves, Ivan Mihael Villalba Moran Apr 2024

Simulating Continuous Gravitational Waves, Ivan Mihael Villalba Moran

SACAD: John Heinrichs Scholarly and Creative Activity Days

Using a table-top Michelson Interferometer to replicate Laser Interferometer Gravitational-Wave Observatory (LIGO) arrangement, we use sound waves to simulate Continuous Gravitational Waves (CWs). Using the NumPy package in Python programming, we recover the frequency of the injected sinusoidal signal using the mathematics of the Fourier Transform. Currently, we are trying to implement the Hidden Markov Model along with the Viterbi Algorithm as a method to detect Wandering Continuous Gravitational Waves.


Moid Using New Sets Of Universal Functions, Ayman Homda, Hany R. Dwidar, Abdelaziz A. Bakry, M.N. Mohamad Ismail, Ahmed El-Raffie Apr 2024

Moid Using New Sets Of Universal Functions, Ayman Homda, Hany R. Dwidar, Abdelaziz A. Bakry, M.N. Mohamad Ismail, Ahmed El-Raffie

Al-Azhar Bulletin of Science

In this paper, based on Goodyear's time transformation formula, we used a set of modified universal functions to construct the minimum distance function between any two celestial objects. We determined the distance between objects in space under a specific time constraint. We used the continued fractions method for quick convergence of the distance function. We used the inverse series to obtain a first initial guess to solve the convergence equation. Furthermore, the Lagrange multiplier method was used to determine the minimum distance between the two objects under the specified time constraint. We constructed an algorithm and applied it with the …


Flavors And Frailties Of Globalization, Nikhilesh Dholakia, Deniz Atik Feb 2024

Flavors And Frailties Of Globalization, Nikhilesh Dholakia, Deniz Atik

Markets, Globalization & Development Review

No abstract provided.


Synchronicity: An Analysis Of Einstein's Halfway Rule, Preslava Nikolova Jan 2024

Synchronicity: An Analysis Of Einstein's Halfway Rule, Preslava Nikolova

Rushton Journal of Undergraduate Humanities Research

For the modern world to function, Global Positioning System satellites must synchronize to clocks on Earth. This paper examines a concept that underlies GPS systems, namely Albert Einstein’s halfway rule—the idea that a line of simultaneity exists between two events in different systems. This essay discusses how Einstein used conventionalist methods to establish ½ as a constant value for σ to take advantage of the property of symmetry.


A Creationist Model Of Impacts Throughout The Solar System, Trevor Holt Dec 2023

A Creationist Model Of Impacts Throughout The Solar System, Trevor Holt

Proceedings of the International Conference on Creationism

The Biblical Creationist movement has been scant in attempts to explain features throughout the Solar System such as craters, water ice and other ices, possible flowing water, icy satellites, planet rings, and the asteroids and comets. It has been assumed that much of this was part of the initial Creation. I maintain that the initial Creation was considered “very good” and would not have included destructive items and hence would not show the results of impacts. A model has been developed which can explain all these features being caused by impacts over a short time period The Biblical foundations are …


Four Comets Of 2020 Are First Returning Ice Bodies From The Wave Which Brought Water To Earth At The Time Of Noah's Flood., Trevor Holt Dec 2023

Four Comets Of 2020 Are First Returning Ice Bodies From The Wave Which Brought Water To Earth At The Time Of Noah's Flood., Trevor Holt

Proceedings of the International Conference on Creationism

Introduction. The year 2020 saw the arrival into the Solar System of four comets which have their closest approach to the Sun all within thirty eight days. These comets are:C/2020 F3 Neowise, perihelion 0.296 AU 2020 July 03, C/2020 F8 Swan, perihelion 0.430 AU 2020 May 27, C/2019 Y4 Atlas, perihelion 0.253 AU 2020 May 31 and C/2019 U6 Lemmon, perihelion 0.914 2020 June 18.This gives support to the reliability of the Genesis record of the global flood and the chronology given in the genealogy of Jesus Christ. A paper was presented by the author at the 2013 International Creationist …


Expansion Of The Cosmic Fabric Model To The Inelastic Case, Cameron Ward, Mark Horstemeyer, Tichomir G. Tenev Dec 2023

Expansion Of The Cosmic Fabric Model To The Inelastic Case, Cameron Ward, Mark Horstemeyer, Tichomir G. Tenev

Proceedings of the International Conference on Creationism

This research expands Tenev’s Cosmic Fabric Model (CFM) to include the large strain and inelastic cases which provide new insights into anomalies of General Relativity. CFM considers an ethereal universe (the "cosmic fabric") and applies continuum mechanics at the galactic and cosmic length scales to effectively recover equations from General Relativity where the Laplacian of strain corresponds to the Laplacian of the gravitational potential in the weak field approximation. While still at the very beginning of the research, this project explores several possible leads related to the inelastic behavior of the fabric. (A) With a Poisson ratio of 1, the …


Craters And Cracks Caused By Accelerated Nuclear Decay Heat Throughout The Solar Systemaccelerated Radioactive Decay Heat In The Solar System And Its Implications For Earth, Don Stenberg Jr. Dec 2023

Craters And Cracks Caused By Accelerated Nuclear Decay Heat Throughout The Solar Systemaccelerated Radioactive Decay Heat In The Solar System And Its Implications For Earth, Don Stenberg Jr.

Proceedings of the International Conference on Creationism

When we look throughout the solar system, we see evidence for accelerated radioactive decay such as fission tracks and isotope ratios. We also see the major effects of that decay heat, including the thermal expansion of planets and moons, massive lava flows, volcanic activity associated with craters, and more. These findings challenge that conventional impact theory of crater formation, and instead suggest that the creation scientists of the 1600s to 1800s were correct that the majority of craters were probably formed by immense explosions. We can now infer the energy source to be accelerated nuclear decay. If this decay heat …


Genealogical Vs Phylogenetic Mutation Rates: Answering A Challenge, Robert Carter Dec 2023

Genealogical Vs Phylogenetic Mutation Rates: Answering A Challenge, Robert Carter

Proceedings of the International Conference on Creationism

There is a discrepancy between the mutation rate we can measure today and the rate at which evolution is supposed to have proceeded. The former is sometimes called the genealogical mutation rate, for it is obtained by comparing individuals whom we know to be related. The latter is sometimes called the phylogenetic mutation rate. It is calculated by counting the fixed differences between two species and dividing by the estimated time since their common ancestor. Genealogical mutation rates are generally several orders of magnitude faster than phylogenetic estimates. This causes problems for the evolutionary model. For example, using the genealogical …


How Should Recent Creationists Respond To Dark Matter And Dark Energy?, Danny R. Faulkner Dec 2023

How Should Recent Creationists Respond To Dark Matter And Dark Energy?, Danny R. Faulkner

Proceedings of the International Conference on Creationism

Astronomers and cosmologists largely accept the reality of dark matter and dark energy. However, many recent creationists oppose both dark matter and dark energy, though it is not clear why. I propose a review of the evidence for dark matter and dark energy, a survey of creationists’ responses to both, and recommendations of how we ought to view dark matter and dark energy.

There are three lines of evidence for dark matter:

  1. Rotation curves of spiral galaxies
  2. Dispersion velocities of galaxy clusters
  3. Gravitational lensing of distant galaxies and quasars by closer galaxy clusters

The evidence for dark matter goes back …


Organizing Pmode Dopplergrams Of Jupiter With Matlab, Brady T. Smith, Deborah Gulledge, Cody Shaw, Gerard Williger Sep 2023

Organizing Pmode Dopplergrams Of Jupiter With Matlab, Brady T. Smith, Deborah Gulledge, Cody Shaw, Gerard Williger

The Cardinal Edge

The interiors of the giant planets are poorly known. At the time of writing, such investigations have been limited to measuring gravitational effects from a handful of orbital probes. The most recent attempt to map the interior is via PMODE (the Planetary Multilevel Oscillations and Dynamics Experiment), designed to explore Jupiter’s core by collecting Dopplergrams. Small radial velocity shifts in Jupiter’s upper cloud decks enable us to map its atmospheric dynamics and consequently its interior via Dioseismology (techniques similar to Helioseismology, applied to Jupiter). This campaign produced a vast dataset with more than 50,000 exposures, every 30 seconds, over 24 …


On The Motion Of The Nodes Of The Moon And The Variation Of Its Inclination To The Ecliptic (An English Translation Of De Motu Nodorum Lunae Eiusque Inclinationis Ad Eclipticam Variatione), Patrick T. Headley Aug 2023

On The Motion Of The Nodes Of The Moon And The Variation Of Its Inclination To The Ecliptic (An English Translation Of De Motu Nodorum Lunae Eiusque Inclinationis Ad Eclipticam Variatione), Patrick T. Headley

Euleriana

In this paper Euler attempts to explain some features of the motion of the Moon using Newton’s inverse-square law of gravity. He describes the evidence in favor of Newton’s theory but also the lack of progress in the study of lunar motion due to the difficulty of the three-body problem, arising here since both the Sun and the Earth have large effects on the Moon. He proceeds to investigate the line of intersection between the planes of the Earth's orbit and the Moon's orbit, as well as the angle between the two planes.


Development Of A Particle-In-Cell/Monte Carlo Simulation For Weakly Ionized Plasmas, Xiaochuan (Chloe) Zheng, James Doyle Jun 2023

Development Of A Particle-In-Cell/Monte Carlo Simulation For Weakly Ionized Plasmas, Xiaochuan (Chloe) Zheng, James Doyle

Macalester Journal of Physics and Astronomy

A plasma is a gaseous system that contains large numbers of electrons and ions that are subject to forces produced by electric and magnetic fields. Weakly ionized plasmas, where the plasma density is much lower than the background gas density, are common in laboratory, atmospheric, and astrophysical situations. Theoretical calculations of plasma properties are challenging due to the complexity of the differential equations used to characterize fundamental physics. Particle-in-cell (PIC) simulations bypass the mathematical difficulties associated with analytic models, at the expense of more complex and time-consuming computer calculations. In this work we developed a one dimensional PIC simulation of …


Tools For Refining The Baryonic Tully-Fisher Relation, Ezra D. Wolf Jun 2023

Tools For Refining The Baryonic Tully-Fisher Relation, Ezra D. Wolf

Macalester Journal of Physics and Astronomy

This paper discusses the development of tools for galactic photometry using wise, and for reduction and analysis of 21cm galaxy spectra. These Python-based tools can then be applied to selected data in order to refine the Baryonic Tully-Fisher Relation. This relation, between baryonic mass and rotational velocity of a galaxy, proves useful for extragalactic research, particularly in calculating redshift-independent distances. While these tools could be further improved, they provide a robust process for calculation of particular galaxy characteristics.


Hydrosphere: Modeling The Planetary Structure Of Ocean Planets And Icy Moons, Karlee R. Taylor Jun 2023

Hydrosphere: Modeling The Planetary Structure Of Ocean Planets And Icy Moons, Karlee R. Taylor

Macalester Journal of Physics and Astronomy

In recent years, “water worlds” have become increasingly of interest to astrobiologists due to their high potential for habitability, as the large amount water on their surfaces is not only necessary for life, but also promises long-term climatic stability. However, also necessary for life is the exchange of chemical compounds between the geosphere and the hydrosphere - something which may be ob- structed by the presence of high pressure ices on these ocean planets and icy moons. In order to explore the habitability of bodies with various surface temperatures, water masses, and core radii, this project develops a model of …


From Experiment To Theory: Investigate The Effect Of Pump Beam Size On Photovoltaic Material Behavior, Dengyu Tu Jun 2023

From Experiment To Theory: Investigate The Effect Of Pump Beam Size On Photovoltaic Material Behavior, Dengyu Tu

Macalester Journal of Physics and Astronomy

In orde to investigate the effect of the pump beam size on an ultrafast conductivity measurement experiment, an experiment using Femto XL-500 laser and a simulation using Mathematica were performed. From the experiment data, we found that as the size of the pump beam decreases beyond certain limit, the Drude model can not accurately predict the relationship between conductivity and frequency. In addition, the simulation results corroborate with the experiment result that there is a limit for the size of the pump beam.


Machine Learning Refinements To Metallicity-Dependent Isotopic Abundances, Haoxuan Sun Jun 2023

Machine Learning Refinements To Metallicity-Dependent Isotopic Abundances, Haoxuan Sun

Macalester Journal of Physics and Astronomy

The project aims to use machine learning algorithms to fit the free parameters of an isotopic scaling model to elemental observations. The processes considered are massive star nucleosynthesis, Type Ia SNe, the s-process, the r-process, and p-isotope production. The analysis on the successful fits seeks to minimize the reduced chi squared between the model and the data. Based upon the successful refinement of the isotopic parameterized scaling model, a table providing the 287 stable isotopic abundances as a function of metallicity, separated into astrophysical processes, is useful for identifying the chemical history of them. The table provides a complete averaged …


Machine Learning Applications For Materials Science: Predicting Properties Of Two-Dimensional Magnetic Materials, Paige Stevenson Jun 2023

Machine Learning Applications For Materials Science: Predicting Properties Of Two-Dimensional Magnetic Materials, Paige Stevenson

Macalester Journal of Physics and Astronomy

We trained successful neural networks to predict the formation energy and magnetic moment of 2-dimensional ferromagnetic materials of similar structure to Cr2Ge2Te6. We collect elemental data on materials with known and unknown properties from easily accessible sources to screen for viable materials for use in future research. Random forest regressors were used to identify the most important predictors of our target qualities, which perform better on predictions of formation energy than magnetic moment. We predict the properties of 1225 materials that are candidates for further research in two-dimensional magnetism and identify several potential sources of error in our models that …


Fabricating Perovskite Solar Cells: Fabrication Guide For Limited Lab Capabilities, Erin F. S. Leary Jun 2023

Fabricating Perovskite Solar Cells: Fabrication Guide For Limited Lab Capabilities, Erin F. S. Leary

Macalester Journal of Physics and Astronomy

Within the realm of emerging photovoltaics, Perovskite cells are one of the most intriguing technologies. Within a little over a decade, Perovskite solar cells have rivaled the efficiencies of traditional silicon solar cells and strongly outpaced other emerging photovoltaic technologies. This paper aims to show a fabrication guide for creating Perovskite solar cells in a limited lab setting. The fabrication guide created structures with strong physical reliability, but limited electrical reliability. More research is needed to ensure greater reliability and proper electrical function.


Solar Radio Bursts —Deployable Low-Band Ionosphere And Transients Experiment (Dlite) Arrays, Jonathan M. Kazor, Jason Kooi Jun 2023

Solar Radio Bursts —Deployable Low-Band Ionosphere And Transients Experiment (Dlite) Arrays, Jonathan M. Kazor, Jason Kooi

Macalester Journal of Physics and Astronomy

Solar radio bursts, phenomenon that often accompany CME, solar flares and other solar events, can be detected on earth and used in the prediction of solar weather that affects earth systems in several ways. As part of the NREIP Program supporting the Naval Research Laboratory, Remote Sensing Division, approximately ten interns participated in the analysis of data collected by DLITE and WAVES radio data. Data from DLITE is often used as a complement to data from WAVES due to differences in frequency range and resolution. The analysis helps to correlate the DLITE data with the data collected from other sources. …


Mapping The Tesseral Field Of Saturn, Aurora Hiveley Jun 2023

Mapping The Tesseral Field Of Saturn, Aurora Hiveley

Macalester Journal of Physics and Astronomy

Saturn's rotation rate is still uncertain, and while it is theorized to exhibit differential rotation much like Jupiter, this claim is somewhat disputed. By analyzing the properties of waves in the ring system of Saturn as measured by the Cassini spacecraft, we aim to provide observational evidence of this phenomenon. The results of wave analysis allow us to characterize the perturbers responsible for the production of these waves, which are believed to be mass anomalies in the interior of Saturn itself. By calculating the masses of these anomalies and attempting to pinpoint their locations inside of the planet, we provide …


Trinification With A Bi-Adjoint Higgs Field, Ross Ferguson Jun 2023

Trinification With A Bi-Adjoint Higgs Field, Ross Ferguson

Macalester Journal of Physics and Astronomy

In this paper, we propose a novel extension of the Standard Model of particle physics, based on the trinification gauge group $SU(3)_C \times SU(3)_L \times SU(3)_R$. Symmetry breaking is achieved using a bi-adjoint Higgs field (transforming under the left- and right-handed subgroups) along with a more conventional bi-triplet to ensure the correct breaking and pattern of fermion masses. To preserve a discrete $Z_2$ symmetry (T-parity), we also introduce a right-handed triplet to completely break trinification symmetry to the Standard Model. The minimization conditions and conditions for the boundedness of the potential for this model are calculated. Additionally, the Standard Model …


Adding Classical Novae Contribution To The Isotopic Scaling Model, Mengxi Chen Jun 2023

Adding Classical Novae Contribution To The Isotopic Scaling Model, Mengxi Chen

Macalester Journal of Physics and Astronomy

The Isotopic Scaling model(West & Heger, 2013) provides a complete average isotopic decomposition for our Milky Way as a function of metallicity and it requires an initial Solar Abundance Decomposition as a starting point. The previous Solar Abundance decomposition work is not perfect(West & Heger, 2013), since Classical Novae abundances are ignored. My research intends to improve the current solar abundance decomposition by adding Classical Novae Abundance contribution, then to update the Isotopic Scaling model.


(R2033) Resonant Curve Due To Perturbations Of Geo-Synchronous Satellite Including Effect Of Earth’S Equatorial Ellipticity, Sushil Yadav, Mukesh Kumar, Virendra Kumar Jun 2023

(R2033) Resonant Curve Due To Perturbations Of Geo-Synchronous Satellite Including Effect Of Earth’S Equatorial Ellipticity, Sushil Yadav, Mukesh Kumar, Virendra Kumar

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we have investigated resonant curve due to frequencies − angular rate of rotation of the Earth and the rate of change of Earth’s equatorial ellipticity parameter. Perturbation equations are used to convert the non-linear equations of motion of geo-synchronous satellite to the linear form. With the help of graphs, we have shown the effect of Earth’s equatorial ellipticity parameter on oscillatory amplitude and variation in orbital radius of satellite. By defining different perturbations, we have also drawn resonant curve due to frequencies steady-state orbital angular rate of satellite and the rate of change of Earth’s equatorial ellipticity …


Du Undergraduate Showcase: Research, Scholarship, And Creative Works, Caitlyn Aldersea, Justin Bravo, Sam Allen, Anna Block, Connor Block, Emma Buechler, Maria De Los Angeles Bustillos, Arianna Carlson, William Christensen, Olivia Kachulis, Noah Craver, Kate Dillon, Muskan Fatima, Angel Fernandes, Emma Finch, Colleen Cassidy, Amy Fishman, Andrea Francis, Stacia Fritz, Simran Gill, Emma Gries, Rylie Hansen, Shannon Powers, Jacqueline Martinez, Zachary Harker, Ashley Hasty, Mykaela Tanino-Springsteen, Kathleen Hopps, Adelaide Kerenick, Colin Kleckner, Ci Koehring, Elijah Kruger, Braden Krumholz, Maddie Leake, Lyneé Alves, Seraphina Loukas, Yatzari Lozano Vazquez, Haley Maki, Emily Martinez, Sierra Mckinney, Mykaela Tanino-Springsteen, Audrey Mitchell, Kipling Newman, Audrey Ng, Megan Lucyshyn, Andrew Nguyen, Stevie Ostman, Casandra Pearson, Alexandra Penney, Julia Gielczynski, Tyler Ball, Anna Rini, Christina Rorres, Simon Ruland, Helayna Schafer, Emma Sellers, Sarah Schuller, Claire Shaver, Kevin Summers, Isabella Shaw, Madison Sinar, Claudia Pena, Apshara Siwakoti, Carter Sorensen, Madi Sousa, Anna Sparling, Alexandra Revier, Brandon Thierry, Dylan Tyree, Maggie Williams, Lauren Wols May 2023

Du Undergraduate Showcase: Research, Scholarship, And Creative Works, Caitlyn Aldersea, Justin Bravo, Sam Allen, Anna Block, Connor Block, Emma Buechler, Maria De Los Angeles Bustillos, Arianna Carlson, William Christensen, Olivia Kachulis, Noah Craver, Kate Dillon, Muskan Fatima, Angel Fernandes, Emma Finch, Colleen Cassidy, Amy Fishman, Andrea Francis, Stacia Fritz, Simran Gill, Emma Gries, Rylie Hansen, Shannon Powers, Jacqueline Martinez, Zachary Harker, Ashley Hasty, Mykaela Tanino-Springsteen, Kathleen Hopps, Adelaide Kerenick, Colin Kleckner, Ci Koehring, Elijah Kruger, Braden Krumholz, Maddie Leake, Lyneé Alves, Seraphina Loukas, Yatzari Lozano Vazquez, Haley Maki, Emily Martinez, Sierra Mckinney, Mykaela Tanino-Springsteen, Audrey Mitchell, Kipling Newman, Audrey Ng, Megan Lucyshyn, Andrew Nguyen, Stevie Ostman, Casandra Pearson, Alexandra Penney, Julia Gielczynski, Tyler Ball, Anna Rini, Christina Rorres, Simon Ruland, Helayna Schafer, Emma Sellers, Sarah Schuller, Claire Shaver, Kevin Summers, Isabella Shaw, Madison Sinar, Claudia Pena, Apshara Siwakoti, Carter Sorensen, Madi Sousa, Anna Sparling, Alexandra Revier, Brandon Thierry, Dylan Tyree, Maggie Williams, Lauren Wols

DU Undergraduate Research Journal Archive

DU Undergraduate Showcase: Research, Scholarship, and Creative Works


Table Of Contents May 2023

Table Of Contents

Journal of the South Carolina Academy of Science

No abstract provided.


Improvements To Isru For Rocket Fuel Generation, Justin Sharp May 2023

Improvements To Isru For Rocket Fuel Generation, Justin Sharp

James Madison Undergraduate Research Journal (JMURJ)

The development of efficient in-situ resource utilization (ISRU) technologies is crucial for the establishment of an extraterrestrial, self-sustaining colony. The generation of rocket fuel at potential colony locations is necessary to provide the transportation of people and cargo to and from these locations.Three processes are discussed for the improvement of ISRU methods to generate rocket fuel: electrolysis and electrochemical improvements to the process of crude fuel production, physical and chemical methods for separation of gaseous H2 and O2, and materials and cryogenics engineering for storage and transportation of liquid hydrogen (LH2) and liquid oxygen (LOX). Storage and transportation of cryogenics …


Euler And Venus' Suspicious Moon, Michael P. Saclolo Mar 2023

Euler And Venus' Suspicious Moon, Michael P. Saclolo

Euleriana

This is a brief note on Leonhard Euler's published German translation from the French of two memoirs read by Armand Henri Baudouin de Guémadeuc to the Paris Academy of Sciences in 1761 and published the same year. The memoirs report on observations made of the planet Venus, performed in Limoges, France by Jacques Montaigne, where he claimed to have detected a moon orbiting the Morning and Evening Star.


Stellar Atmosphere Models For Select Veritas Stellar Intensity Interferometry Targets, Jackson Ladd Sackrider, Jason P. Aufdenberg, Katelyn Sonnen Mar 2023

Stellar Atmosphere Models For Select Veritas Stellar Intensity Interferometry Targets, Jackson Ladd Sackrider, Jason P. Aufdenberg, Katelyn Sonnen

Beyond: Undergraduate Research Journal

Since 2020 the Very Energetic Radiation Imaging Telescope Array System (VERITAS) has observed 48 stellar targets using the technique of Stellar Intensity Interferometry (SII). Angular diameter measurements by VERITAS SII (VSII) in a waveband near 400 nm complement existing angular diameter measurements in the near-infrared. VSII observations will test fundamental predictions of stellar atmosphere models and should be more sensitive to limb darkening and gravity darkening effects than measurements in the near-IR, however, the magnitude of this difference has not been systematically explored in the literature. In order to investigate the synthetic interferometric (as well as spectroscopic) appearance of stars …


A Numerical Approach To Solve The Initial-Value Problem Of Two-Body With Universal Variable, Ahmed B. Yassen, Waleed N. Ahmed, Ahmed H. Ibrahim, Abdelaziz A. Bakry, Hany R. Dwidar Jan 2023

A Numerical Approach To Solve The Initial-Value Problem Of Two-Body With Universal Variable, Ahmed B. Yassen, Waleed N. Ahmed, Ahmed H. Ibrahim, Abdelaziz A. Bakry, Hany R. Dwidar

Al-Azhar Bulletin of Science

The solution of the initial-value problem of two-body gives inaccurate final state predictions for the orbital motions of artificial satellites. This is due to the presence of singularities and the poor selection of variables. In the current study, we numerically investigated the initial-value problem using the universal anomaly approach. To clarify the problem under concern, we carried out several numerical examples using a homemade software package. We considered five space missions, around the two planets Earth and Venus, which represent circular, near circular and ellipse orbits. We showed that the universal anomaly approach facilitates the numerical and analytical treatments of …