The gravitational perturbation of a Morris–Thorne wormhole and the Newman–Penrose formalism

AbstractThis paper presents a collection of analytical formulae that can be used in the long-term propagation of the motion of a spacecraft subject to low-thrust acceleration and orbital perturbations. The paper considers accelerations due to: a low-thrust profile following an inverse square law, gravity perturbations due to the central body gravity field and the third-body gravitational perturbation. The analytical formulae are expressed in terms of non-singular equinoctial elements. The formulae for the third-body gravitational perturbation have been obtained starting from equations for the third-body potential already available in the literature. However, the final analytical formulae for the variation of the equinoctial orbital elements are a novel derivation. The results are validated, for different orbital regimes, using high-precision numerical orbit propagators.

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Retrograde co-orbital orbits in the Earth–Moon system: planar stability region under solar gravitational perturbation

Astrophysics and Space Science ◽

10.1007/s10509-021-03994-8 ◽

2021 ◽

Vol 366 (9) ◽

Author(s):

Kenta Oshima

Keyword(s):

Stability Region ◽

Gravitational Perturbation ◽

Moon System ◽

The Earth

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EXTERIOR GRAVITATIONAL PERTURBATION ON GENERALIZED SCHWARZSCHILD GEOMETRY

Acta Physica Sinica ◽

10.7498/aps.49.1031 ◽

2000 ◽

Vol 49 (6) ◽

pp. 1031

Author(s):

LI XIN-ZHOU ◽

YUAN NING-YI ◽

LIU DAO-JUN ◽

HAO JIAN-GANG

Keyword(s):

Gravitational Perturbation ◽

Schwarzschild Geometry

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4.15. Dynamics of the Galactic center molecular clouds

Symposium - International Astronomical Union ◽

10.1017/s0074180900084618 ◽

1998 ◽

Vol 184 ◽

pp. 197-199

Author(s):

C. W. Lee ◽

H. M. Lee ◽

H.B. Ann ◽

K.H. Kwon

Keyword(s):

Smoothed Particle Hydrodynamics ◽

Molecular Clouds ◽

Galactic Center ◽

Combined Effects ◽

Gravitational Perturbation ◽

Particle Hydrodynamics ◽

Smoothed Particle

We have performed Smoothed Particle Hydrodynamics (SPH) simulations in order to understand the dynamical structures of Galactic Center molecular clouds. In our study it was found that the structures of GC molecular clouds could be induced by the combined effects of a gravitational perturbation by rotating bar potential and the hydrodynamic collisions between the clouds.

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Rotational Behavior of Cometary-type Bodies

Symposium - International Astronomical Union ◽

10.1017/s0074180900091294 ◽

1992 ◽

Vol 152 ◽

pp. 291-296

Author(s):

Eric Bois ◽

Pascal Oberti ◽

Claude Froeschlé

Keyword(s):

Qualitative Study ◽

Rotational Motion ◽

Numerical Experiments ◽

Initial Conditions ◽

Close Approach ◽

Rotational Behavior ◽

Comet Nucleus ◽

Gravitational Perturbation ◽

The Sun ◽

Sensitivity To Initial Conditions

The present paper deals with a general dynamical qualitative study of the rotational motion for cometary-type bodies submitted to gravitational torques. Numerical experiments of the evolution of comet nucleus attitude have been then performed, including the Sun and Jupiter's disturbing torques in the model. Results show small effects of the solar gravitational perturbation for Halley-type orbits. Only a very close-approach with Jupiter induces notable effects. The latter configuration presents some interesting sensitivity to initial conditions.

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