Interplanetary Relationship with Some Parameters of Two Planets Based on the Angular Diameter of the Sun

Abstract

This paper describes an interplanetary relationship between any two planets. This relation is between the distances of planets from the Sun, axis tilts of the planets, the diameter of planets and equatorial rotational velocities of planets. This one elegant equation sums most of the physical quantities related to a planet. The expression uses the concept that the angular diameter of the Sun is different from each planet. On rearranging and substituting different values in the expression we can expand the expression’s functionality by including the mass and densities of planets. In the interplanetary relationship expression we will see two cases; one, the special case which gives an expression which shows the relation between Earth and all of the planets of the solar system. Two, the general case which gives an expression (which expands the application of the expression) using which we can form a relationship between any two planets of the solar system. If certain rules are followed then we get a relation which is dimensionally and numerically equal. On rearranging the terms of the interplanetary relationship expression, we get two new expressions for finding the angular diameter of the sun from different planets. Using the equations of angular diameter we derive an interplanetary relationship expression independent of angular diameter of the sun. Using the expressions for the angular diameter of the sun we will also find the value of a constant which represents the ratio of the physical characteristics of a planet. We will verify and understand the application of all these equations by substituting real values for each planet.