2009MNRAS.396.1737P

Query : 2009MNRAS.396.1737P

2009MNRAS.396.1737P - Mon. Not. R. Astron. Soc., 396, 1737-1742 (2009/July-1)

An analytical solution for Kepler's problem.

PAL A.

Abstract (from CDS):

In this paper, we present a framework which provides an analytical (i.e. infinitely differentiable) transformation between spatial coordinates and orbital elements for the solution of the gravitational two-body problem. The formalism omits all singular variables which otherwise would yield discontinuities. This method is based on two simple real functions for which the derivative rules are only required to be known, all other applications - e.g. calculating the orbital velocities, obtaining the partial derivatives of radial velocity curves with respect to the orbital elements - are thereafter straightforward. As it is shown, the presented formalism can be applied to find optimal instants for radial velocity measurements in transiting explanatory systems to constrain the orbital eccentricity as well as to detect secular variations in the eccentricity or in the longitude of periastron.

Abstract Copyright: © 2009 The Author. Journal compilation © 2009 RAS

Journal keyword(s): methods: analytical - techniques: radial velocities - celestial mechanics - ephemerides

Simbad objects: 1

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Number of rows : 1
N Identifier Otype ICRS (J2000)
RA 		ICRS (J2000)
DEC 		Mag U Mag B Mag V Mag R Mag I Sp type #ref
1850 - 2026 		#notes
1 BD+47 2936b Pl 19 50 50.2472976936 +48 04 51.101390496           ~ 493 1

Query : 2009MNRAS.396.1737P

Basic data :
BD+47 2936b -- Extra-solar Planet
Other object types: otypes_help 		Pl? (2015ApJS,HAT,...), Pl (2020AJ,Kepler), * (BD)
ICRS coord. (ep=J2000) : 		19 50 50.2472976936 +48 04 51.101390496 (Optical) [ 0.0090 0.0105 90 ] A 2020yCat.1350....0G
FK4 coord. (ep=B1950 eq=1950) : 		19 49 21.6669319874 +47 56 56.377301491 [ 0.0090 0.0105 90 ]
Gal coord. (ep=J2000) : 		081.8337041619427 +10.7723817445561 [ 0.0090 0.0105 90 ]
Proper motions mas/yr : 		126.095 232.726 [0.013 0.013 90] A 2020yCat.1350....0G
Parallaxes (mas): 		26.4274 [0.0108] A 2020yCat.1350....0G
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Hierarchy : number of linked objects
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: 1 : 1 Display criteria :

Identifiers (6) :
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BD+47 2936b Kepler-3b TOI-1144.01
HAT-P-11b KOI-3.01 TOI-1144b

References (493 between 1850 and 2026) (Total 493)
Simbad bibliographic survey began in 1850 for stars (at least bright stars) and in 1983 for all other objects (outside the solar system).
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