A mathematical formula to calculate the distances of exoplanets' orbits from their stars
Abstract
For distances of exoplanets from their stars, we can use a mathematical formula derived with an appropriate generalization and modification of the TitiusBode law. Specifically it is applicable to seven planetary systems, in each one of which at east three planets have been discovered. The planetary systems in which the formula applies must meet the following conditions: (a) to be coplanar (b) the planets do not have great concentricity and (c) to not be located near the star of a planet with a very high mass compared with the mass of the star. An adaptation of the wellknown TitiusBode law to the system HR 8799 is: Take the geometrical series 7.3, 14.6, 29.2, 58.4, 116.8, in which each term is double the previous one. With the addition of 0 as the first term, we have the series 0, 7.3, 14.6, 29.2, 58.4, 116.8. Adding 9.4 to each term produces a third series: 9.4, 16.7, 24, 38.6, 67.8, 126.2. So we arrive at the distances of the planets from the star as expressed in astronomical units. The distances of the discovered planets are 24, 38 and 68 AU.
 Publication:

11th Hellenic Astronomical Conference
 Pub Date:
 September 2013
 Bibcode:
 2013hell.conf...44K