On the required accuracy of the theory of motion of perturbing bodies. 2. The inner and general cases.

Details On the required accuracy of the theory of motion of perturbing bodies. 2. The inner and general cases. On the required accuracy of the theory of motion of perturbing bodies. 2. The inner and general cases.

Apr 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998kosis..36..200k&link_type=abstract

Kosmicheskie Issledovaniia, Tom 36, No. 2, p. 200 - 205

Physics

1

Perturbation Theory: Acceleration, Perturbation Theory: Gravitation Theory, Perturbation Theory: Motions

Scientific paper

The problem of motion of a zero-mass point P in a gravitational field of free mass points is considered. The required accuracy for taking into account the perturbing acceleration of the point P is given. The "inner" (the perturbing body is closer to the attracting center than the perturbed body) and general (arbitrary location of the bodies) cases are considered. The admissible error in representing the motion of perturbing bodies is estimated. The limiting cases are considered. Examples of estimations of the required accuracy of the theory of motion of perturbing bodies are given for Earth's artificial satellites and Solar System bodies.

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