Optimum power-limited orbit transfer in strong gravity fields

AIAA Journal ◽  
1965 ◽  
Vol 3 (5) ◽  
pp. 921-925 ◽  
Author(s):  
THEODORE N. EDELBAUM
Keyword(s):  
Orbit Transfer ◽  
Strong Gravity ◽  
Gravity Fields

Minimum time transfers of a low-thrust rocket in strong gravity fields

2003 ◽  
Vol 52 (8) ◽  
pp. 601-611 ◽  
Author(s):  
Boris M. Kiforenko ◽  
Zoya V. Pasechnik ◽  
Svitlana B. Kyrychenko ◽  
Igor Yu. Vasiliev
Keyword(s):  
Minimum Time ◽  
Low Thrust ◽  
Strong Gravity ◽  
Gravity Fields

Free convection in strong gravity fields

1971 ◽  
Vol 21 (1) ◽  
pp. 854-860
Author(s):  
B. M. Berkovskii ◽  
A. A. Baranov
Keyword(s):  
Free Convection ◽  
Strong Gravity ◽  
Gravity Fields

scholarly journals Transversely trapping surfaces: Dynamical version

2020 ◽  
Vol 2020 (2) ◽  
Author(s):  
Hirotaka Yoshino ◽  
Keisuke Izumi ◽  
Tetsuya Shiromizu ◽  
Yoshimune Tomikawa
Keyword(s):  
Initial Data ◽  
Spacelike Hypersurface ◽  
Closed Surface ◽  
Spherically Symmetric ◽  
Trapped Surfaces ◽  
Strong Gravity ◽  
New Concepts ◽  
Gravity Fields ◽  
Trapped Surface ◽  
Symmetric Initial Data

Abstract We propose new concepts, a dynamically transversely trapping surface (DTTS) and a marginally DTTS, as indicators for a strong gravity region. A DTTS is defined as a two-dimensional closed surface on a spacelike hypersurface such that photons emitted from arbitrary points on it in transverse directions are acceleratedly contracted in time, and a marginally DTTS is reduced to the photon sphere in spherically symmetric cases. (Marginally) DTTSs have a close analogy with (marginally) trapped surfaces in many aspects. After preparing the method of solving for a marginally DTTS in the time-symmetric initial data and the momentarily stationary axisymmetric initial data, some examples of marginally DTTSs are numerically constructed for systems of two black holes in the Brill–Lindquist initial data and in the Majumdar–Papapetrou spacetimes. Furthermore, the area of a DTTS is proved to satisfy the Penrose-like inequality $A_0\le 4\pi (3GM)^2$, under some assumptions. Differences and connections between a DTTS and the other two concepts proposed by us previously, a loosely trapped surface [Prog. Theor. Exp. Phys. 2017, 033E01 (2017)] and a static/stationary transversely trapping surface [Prog. Theor. Exp. Phys. 2017, 063E01 (2017)], are also discussed. A (marginally) DTTS provides us with a theoretical tool to significantly advance our understanding of strong gravity fields. Also, since DTTSs are located outside the event horizon, they could possibly be related with future observations of strong gravity regions in dynamical evolutions.

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