Article (Scientific journals)
Analytical solutions for J 2-perturbed unbounded equatorial orbits
Martinusi, Vladimir; Gurfil, Pini
2013In Celestial Mechanics and Dynamical Astronomy, 115, p. 35-57
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Keywords :
Perturbed two-body problem; Zonal harmonics; Analytical methods; Unbounded orbits
Abstract :
[en] While solutions for bounded orbits about oblate spheroidal planets have been presented before, similar solutions for unbounded motion are scarce. This paper develops solutions for unbounded motion in the equatorial plane of an oblate spheroidal planet, while taking into account only the J [SUB]2[/SUB] harmonic in the gravitational potential. Two cases are distinguished: A pseudo-parabolic motion, obtained for zero total specific energy, and a pseudo-hyperbolic motion, characterized by positive total specific energy. The solutions to the equations of motion are expressed using elliptic integrals. The pseudo-parabolic motion unveils a new orbit, termed herein the fish orbit, which has not been observed thus far in the perturbed two-body problem. The pseudo-hyperbolic solutions show that significant differences exist between the Keplerian flyby and the flyby performed under the the J [SUB]2[/SUB] zonal harmonic. Numerical simulations are used to quantify these differences.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Martinusi, Vladimir ;  Technion -- Israel Institute of Technology > Faculty of Aerospace Engineering > Distributed Space Systems Lab
Gurfil, Pini;  Distributed Space Systems Lab, Faculty of Aerospace Engineering)
Language :
English
Title :
Analytical solutions for J 2-perturbed unbounded equatorial orbits
Publication date :
01 January 2013
Journal title :
Celestial Mechanics and Dynamical Astronomy
ISSN :
0923-2958
eISSN :
1572-9478
Publisher :
Kluwer Academic Publishers, Netherlands
Volume :
115
Pages :
35-57
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 10 February 2015

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