S Capozziello et al 2009 Phys. Scr. 79 025901 doi:10.1088/0031-8949/79/02/025901
S Capozziello1, M De Laurentis1,2, F Garufi1 and L Milano1
Show affiliationsCorrections to the relativistic orbits are studied considering higher order approximations induced by gravitomagnetic effects. We discuss in details how such corrections come out taking into account 'magnetic' components in the weak field limit of gravitational field and then the theory of orbits is developed starting from the Newtonian one, the lowest order in the approximation. Finally, the orbital structure and the stability conditions are discussed giving numerical examples. Beside the standard periastron corrections of General Relativity, a new nutation effect is due to the c−3 corrections. The transition to chaotic behavior strictly depends on the initial conditions. The orbital phase space portrait is discussed.
95.30.Sf Relativity and gravitation
Issue 2 (February 2009)
Received 13 October 2008, accepted for publication 18 December 2008
Published 4 February 2009
S Capozziello et al 2009 Phys. Scr. 79 025901
Thomas Bittig et al 2008 New J. Phys. 10 063001
A Hilfinger and F Jülicher 2008 Phys. Biol. 5 016003
J F Joanny et al 2007 New J. Phys. 9 422
C Balocco et al 2008 J. Phys.: Condens. Matter 20 384203
Shaomin Wu et al 2009 Nanotechnology 20 285312
P C Abbott and E N Maslen 1986 J. Phys. B: At. Mol. Phys. 19 1595
P C Abbott and E N Maslen 1984 J. Phys. B: At. Mol. Phys. 17 L489
P C Abbott and E N Maslen 1987 J. Phys. A: Math. Gen. 20 2043
J E Gottschalk et al 1987 J. Phys. A: Math. Gen. 20 2077