Determining Relative Position of Space Object to Earth

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Discussion Overview

The discussion revolves around determining the relative position of a space object to Earth, specifically how to ascertain if the object is directly above a location such as New York. The scope includes theoretical aspects of orbital mechanics and practical calculations using data sourced from a NASA API.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about the feasibility of determining the object's position with the available data and seeks guidance on which values are important.
  • Another participant suggests calculating distances between the space object and other celestial bodies (Earth, Moon, Sun) using a three-dimensional Euclidean distance formula, while noting the need for consistent relative positions.
  • A different participant proposes using right ascension and declination from the orbital data to find the longitude and latitude of the point on Earth directly beneath the space object.
  • A later reply questions the applicability of the earlier distance calculations, emphasizing the necessity of having coordinates in a defined coordinate system.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to determine the relative position of the space object. Multiple competing views and methods are presented, with some uncertainty regarding the necessary data and calculations.

Contextual Notes

Limitations include potential missing assumptions about the coordinate systems used and the dynamic nature of the positions of celestial bodies.

Py3_3
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Hello,

i'm doing a project where the goal is to get the relative position of a space object to the earth, roughly. Basically, i want to say that this object is currently e.g. above New York.

The data for any given space object that i have is
3g8khyf.png

(It's sourced from an NASA API). The specific values are not important, just an example object.

I know nothing about how orbits are calculated and such, but I'm a pretty math-savvy guy and i'd be willing to research and learn it myself. But i don't want to spend 3 days digging into this stuff only to realize that what i want to do is not possible with the information i have.

So basically my question is the title. Also if you want to give me some pointers which of those values are important to me that would be amazing too.

Thanks in advance!

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I think that if you want the relative position of it in relation to other space objects like the earth, the sun, the moon then first i think it has to stay in the same relative position. But the Earth and the moon are moving. Their positions change.

If you want you can calculate the distances of the space object from the moon, the sun and the earth. This i think may give you somehow its position relative to those space objects. The mathematical formula for the distance of two points(earth and the space object for example) in three dimensions of euclidean space is d=((x1-y1)2+ (x2-y2)2+(x3-y 3)2)1/2 where x=(x1,x2,x3) and y=(y1,y2,y3) are the coordinates of the points.

You substitute in the coordinates of x,y the corresponding coordinates of your space objects and you have their distance. If you have the distance of this space object from the Earth's ground is this ok?

If you want the orbit of a space object, i think its path to be an orbit it has to be regular repeating around another space object. Check the formulas of orbital mechanics if you want. Is it an elliptic, parabolic, hyperbolic orbit? Is it a free or conic orbit?

Is this for professional purposes? You have a professional project on this? It may not be for professional purposes i am just asking.

I do not know if i helped. I hope i did.
 
Py3_3 said:
Basically, i want to say that this object is currently e.g. above New York.

This should be fairly straight forward. The orbital data from NASA should allow you to calculate the right ascension and declination of an object at the current (or any other) time. Once you have the RA and Dec you can calculate the longitude and latitude of the point on the Earth where the object is at zenith.

I don't have references, but Google will give you the math and code examples for doing this.
 
I think what i wrote is not applicable about the distances of these space objects because someone should have their coordinates in a coordinate system. I am sorry for that.
 

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