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There is a desire to observe the sun's poles to further deepen our understanding of solar activity. However, because of the large speeds needed to perform out-of-ecliptic plane maneuvers, chemical and electric rocket propulsion mechanisms…

Instrumentation and Methods for Astrophysics · Physics 2023-09-13 Jeric V. Garrido , Jose Perico H. Esguerra

In this work, the orbital evolution of these objects that are located in the geostationary orbit (GEO) is analyzed. Knowing this, the possibility of using a solar sail is considered to help to clean the space environment. The main natural…

Earth and Planetary Astrophysics · Physics 2023-07-26 Jean Paulo dos S. Carvalho , Rodolpho Vilhena de Moraes , Antonio Fernando Bertachini de A. Prado

We study periodic orbits in the spatial rotating Kepler problem from a symplectic-topological perspective. Our first main result provides a complete classification of these orbits via a natural parametrization of the space of Kepler orbits,…

Symplectic Geometry · Mathematics 2026-03-06 Dongho Lee

The coupled attitude and orbit dynamics of solar sails is studied. The shape of the sail is a simplified quasi-rhombic-pyramid that provides the structure helio-stablility properties. After adimensionalisation, the system is put in the form…

Space Physics · Physics 2020-01-08 Narcis Miguel , Camilla Colombo

The equation for the conic sections describing the possible orbits in a potential $V \sim r^{-1}$ is obtained by means of a vector constant of the motion differing from the traditional Laplace-Runge-Lenz vector.

Classical Physics · Physics 2009-11-10 Gerardo Munoz

Spacecraft relative motion planning is concerned with the design and execution of maneuvers relative to a nominal target. These types of maneuvers are frequently utilized in missions such as rendezvous and docking, satellite inspection and…

Optimization and Control · Mathematics 2017-06-22 Gregory R. Frey , Christopher D. Petersen , Frederick A. Leve , Ilya V. Kolmanovsky , Anouck R. Girard

A simple procedure is developed to determine orbital elements of an object orbiting in a central force field which contribute more than three independent celestial positions. By manipulation of formal three point Gauss method of orbit…

Earth and Planetary Astrophysics · Physics 2015-06-17 Taghi Mirtorabi

Asteroid body-fixed hovering problem using nonideal solar sail models in a compact form with controllable sail area is investigated in this paper. The nonlinear dynamic equations for the hovering problem are constructed for a spherically…

Solar and Stellar Astrophysics · Physics 2015-06-22 Xiang-yuan Zeng , Fang-hua Jiang , Jun-feng Li

Understanding natural relative motion trajectories is critical to enable fuel-efficient multi-satellite missions operating in complex environments. This paper studies the problem of computing and efficiently parameterizing satellite…

Robotics · Computer Science 2021-11-24 Ethan Burnett , Hanspeter Schaub

It is shown that the curvature of spacetime, a possible net electric charge on the sun, a small positive cosmological constant and the oblateness of the sun, in conjunction with solar radiation pressure (SPR), affect the bound orbital…

General Relativity and Quantum Cosmology · Physics 2009-08-17 Roman Ya. Kezerashvili , Justin F. Vazquez-Poritz

Orbit determination of spacecraft in orbit has been mostly dependent on either GNSS satellite signals or ground station telemetry. Both methods present their limitations, however: GNSS signals can only be used effectively in earth orbit,…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Pedro Rocha Cachim , João Gomes , Rodrigo Ventura

Advanced solar sailing has been an increasingly attractive propulsion system for highly non-Keplerian orbits. Three new applications of the orbital angular momentum reversal (H-reversal) trajectories using solar sails are presented in this…

Solar and Stellar Astrophysics · Physics 2015-05-27 Xiangyuan Zeng , Hexi Baoyin , Junfeng Li , Shengping Gong

This paper presents a novel methodology for solving the time-optimal trajectory optimization problem for interplanetary solar-sail missions using successive convex programming. Based on the non-convex problem, different convexification…

Computational Engineering, Finance, and Science · Computer Science 2024-12-20 Yu Song , Shengping Gong

This paper presents a mission concept that enables Earth-Mars communications resistant to periods of solar conjunction by using CubeSat satellites equipped with a solar sail. The dynamics of the satellite is modeled separately in the…

Space Physics · Physics 2024-01-30 Leonor Cui Domingo Centeno , Ariadna Farrés

It is attempted to derive the general relativistic (GR) equation of motion for planet and its solution solely by the special relativity (SR) techniques. The motion of a planet relative to the sun and that of the sun to the planet are solved…

Earth and Planetary Astrophysics · Physics 2022-08-22 Yoshio Kubo

The first integrals of the Kepler problem are used to compute preliminary orbits starting from two short observed arcs of a celestial body, which may be obtained either by optical or radar observations. We write polynomial equations for…

Mathematical Physics · Physics 2015-05-27 Giovanni F. Gronchi , Davide Farnocchia , Linda Dimare

A solar sail is one of the most promising space exploration system because of its theoretically infinite specific impulse using solar radiation pressure (SRP). Recently, some researchers proposed "transformable spacecrafts" that can…

Machine Learning · Computer Science 2024-12-19 Yuki Kubo , Toshihiro Chujo

It was shown that pedal coordinates provides natural framework in which to study force problems of classical mechanics in the plane. A trajectory of a test particle under the influence of central and Lorentz-like forces can be translated…

Classical Physics · Physics 2021-10-19 Petr Blaschke

The orbital dynamics of most planetary satellites is governed by the quadrupole moment from the equatorial bulge of the host planet and the tidal field from the Sun. On the Laplace surface, the long-term orbital evolution driven by the…

Astrophysics · Physics 2009-11-13 Scott Tremaine , Jihad Touma , Fathi Namouni

In this paper, we determine the effect of radiation pressure, Poynting-Robertson drag and solar wind drag on the Sun-(Earth-Moon) restricted three body problem. Here, we take the larger body of the Sun as a larger primary, and Earth+Moon as…

Earth and Planetary Astrophysics · Physics 2014-11-21 Ashok Kumar Pal , Badam Singh Kushvah
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