Why Are Orbital Elements Not Preferred for Ephemerides Calculation?

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In summary, while orbital elements can be used to initially calculate ephemerides, they may not provide accurate positions over longer periods of time due to changing perturbations, so direct numerical integration methods are preferred.
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pc2-brazil
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Good morning,

A method of calculating positions of planets and other bodies of the solar system is to compute them from the orbital elements given for some epoch, using methods described, for example, in the site below.
http://ssd.jpl.nasa.gov/?bodies#elem
However, this site states that, in general, orbital elements should not be used to calculate ephemerides.
My doubt is: Why? How are ephemerides calculated? Aren't orbital elements used at least at some point?

Thank you in advance.
 
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Ephemerides are typically calculated by integrating a set of equations describing the motion of the body in question. This requires knowledge of the position and velocity of the body at some point in time (the epoch) and the equations of motion. The initial conditions needed to integrate the equations of motion can be derived from the orbital elements, which describe the shape and orientation of the orbit, its size and its orientation in space. However, the orbital elements change with time due to perturbations from other bodies, so they may not provide accurate positions over longer periods of time. Therefore, it is preferable to use direct numerical integration methods, such as numerical solutions of the equations of motion, rather than relying on orbital elements to calculate ephemerides.
 

Related to Why Are Orbital Elements Not Preferred for Ephemerides Calculation?

1. What is an ephemeris and why is it important?

An ephemeris is a table or data file that contains the calculated positions of celestial bodies, such as planets, at specific times. It is important because it allows astronomers and navigators to accurately predict the locations of these bodies in the sky, which is crucial for navigation and astronomical research.

2. How do scientists calculate ephemerides?

Scientists use mathematical models and formulas to calculate ephemerides. These models take into account the known gravitational forces and movements of celestial bodies to predict their positions at specific times.

3. What factors can affect the accuracy of ephemeris calculations?

Some factors that can affect the accuracy of ephemeris calculations include the precision of the input data, the complexity of the mathematical models used, and external forces such as the gravitational pull of other celestial bodies.

4. How often are ephemerides updated?

Ephemerides are typically updated on a regular basis, with the frequency depending on the specific application and the accuracy needed. For example, navigational ephemerides may be updated daily, while astronomical ephemerides may be updated less frequently.

5. Can ephemerides be used to predict future celestial events?

Yes, ephemerides can be used to predict future celestial events such as planetary conjunctions, eclipses, and transits. However, the accuracy of these predictions may vary depending on the factors mentioned earlier.

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