believer_since_1956":17wxvq4c said:
Actually the point I am trying to make with Triangulation is it will work anywhere in the Universe provide you have 3 relative unchanging reference points. By relative unchanging reference points I mean with respect to a long time duration the reference points (stars, galaxies, quasars, black holes, etc) do not move from your perspective. In other words you are the object that is moving. I realize if you are taking a long duration voyage (multiple lifetimes) problems will develop, however that to can be compensated for by knowing the paths of the reference points through space.
I realize I have digressed from the original thread, however I am a former artillery officer, an engineer, and an amateur astronomer needless to say I love maps and navigation discussions.
We may be saying the same thing depending on what the words "triangulate" and "position" mean.
(1) To paraphrase Wikipedia: Triangulation is the process of determining the location of a point by measuring angles to (or from) known points. I think that is what you are doing when you measuring "the position in space of 3 stars from your viewpoint".
(2) Position is defined as a specific the place at a specific time in 3 dimensional space. To define the a position one must establish some sort of coordinate measuring system, which then means one must establish a reference point or zero point in the system.
(3) I need to introduce the term "attitude". The spacecraft attitude is its angular orientation in space. To define attitude one must establish some sort of angular coordinate measuring system, which then means one must establish a reference point or zero point in the system. The most recognizable such system is the astronomy system of Right Ascension and Declination.
The Phoenix spacecraft (since you mentioned it earlier) had 2 star cameras on it, one active and one backup. They were used to determine the spacecraft attitude (not the position). As far as I know, all spacecraft have something similar to measure star positions, determine the attitude, and thus allow the spacecraft to be rotated and pointed to a specific direction. At any time the spacecraft can be rotated to any attitude, totally independent of its position in its orbit. The star cameras give absolutely no information on the spacecraft's position.
The triangulation discussion has me a bit puzzled. The stars look the same from anywhere in the solar system. Measuring them (3 stars, 4 stars, or a million of them) will tell you absolutely nothing about your position, no matter how accurately you measure them. However if you measure something nearby and use the stars as a background reference, then you can determine position relative to the nearby object. For example: two astronomers can measure all the stars they want and there is absolutely no way they can tell if their observatories are both at Kitt Peak or if one is somewhere in Italy. However, as soon as they take a measurement to something nearby (it could be the moon, the horizon, or the window sill) they can immediately determine their relative positions. That appears to be what you are calling triangulation.
The NASA article you referenced does not use triangulation as a position finding technique. In the referenced article (
http://nmp-techval-reports.jpl.nasa.gov ... port_A.pdf) the word "triangulation appears only once (first paragraph on page 60). In this instance, it is referring to a one time process used only for 3 hours before fly-by. They plan to use a "combination of simple triangulation and area analysis" to ensure the safety of the spacecraft and not hit the asteroid. They do not define what they mean by either technique.
The Optical navigation concept is summarized in the second paragraph of the abstract (page vi). it says "The theoretical basis of AutoNav is a process in which images of asteroids (typically main-belt) are taken against the distant stars and, through the measured parallax, geometric information is inferred." The technique is also described in the introduction (page 1) and says:
"Optical Navigation, as it is currently being applied by the deep-space probes of JPL/NASA, is a technique by which the position of a spacecraft is determined through astrometric observations of targets against a background field of stars. The stars and target positions are known by ground or other observations, independently, or concurrently made, and the position of the spacecraft taking the image is inferred from the error in the position of the near-field object against the far-field (i.e. the parallax)."
The technique is easy to describe, but complex to do. By measuring the asteroid against the stars, one can establish a line from the star (actually a Right Ascension and Declination point) through the asteroid. The asteroid's absolute position is established by ground orbit determination before the mission starts. With the asteroid position known, the line is then fixed in space and the spacecraft must be on that line. We don't know exactly where on the line, but we can make a reasonable initial guess. Multiple measurements (days, weeks or months apart) of this kind establish multiple lines and for each we have a reasonable initial guess where on the line the spacecraft is. As more measurements are collected, the position guesses on the line can be refined so that the individual positions all lie along a physically possible orbit.