Calculation of Right Ascension and Declination and its conversion to Azimuth and Altitude [Calculated using Kepler’s Laws] using Osculating Elements

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The Idea!- Kepler’s Algorithms

Yes! the Real time position of any celestial body can be calculated using some parameters called Orbital Elements (or Osculating Elements orĀ Keplerian Elements). These are the parameters that define an orbit at a particular time.

  1. Inclination (i)angle between the plane of the Ecliptic and th

    In this diagram the orbital plane (yellow) intersects a reference plane.For Earth-orbiting satellites, the reference plane is usually the earths equatorial plane and for satellites in the solar orbits it is the elliptic plane.The intersection is called the line of nodes as it connects the center of mass to ascending and descending nodes.This plane together with the vernal point establishes a reference frame. source:1

    e plane of the orbit.

  2. Longitude of the Ascending Node (o)states the position in the orbit where the elliptical path of the planet passes through the plane of the ecliptic, from below the plane to above the plane.
  3. Longitude of Perihelion (p)states the position in the orbit where the planet is
    closest to the Sun.
  4. Mean distance (a)the value of the semi-major axis of the orbit – measured in Astronomical Units for the major planets.
  5. Daily motion (n)states how far in degrees the planet moves in one (mean solar) day. This figure can be used to find the mean anomaly of the planet for a given number of days either side of the date of the elements. The figures quoted in the Astronomical Almanac do not tally with the period of the planet as calculated by applying Kepler’s 3rd Law to the semi-major axis.
  6. Eccentricity (e)eccentricity of the ellipse which describes the orbit.
  7. Mean Longitude (L)Position of the planet in the orbit on the date of the elements.source:2

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