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A knot (or blob) in a jet is ejected from an AGN and is observed by an observer O. The actual speed of the blob with respect to O is v and 0 is the angle between the direction of motion of the blob and the line of sight joining observer O and AGN. = 60° 1. Write down the relation between the apparent and the actual speed. For then determine the largest possible apparent speed of the blob with respect to O. 2. The relation 1 C sin + cos 0' where c is the speed of light, gives the actual speeds for which superluminal mo- tion is observed by O for a given 0. Invert the above relation to obtain the relation sin -1 - 2,82 )] << sin -1 (1+√√2,ẞ32 28 where 6 = v/c, and which gives the angles for which superluminal motion is observed by O for a given ẞ.

A knot (or blob) in a jet is ejected from an AGN and is observed by an observer O. The actual speed of the blob with respect to O is v and 0 is the angle between the direction of motion of the blob and the line of sight joining observer O and AGN. = 60° 1. Write down the relation between the apparent and the actual speed. For then determine the largest possible apparent speed of the blob with respect to O. 2. The relation 1 C sin + cos 0' where c is the speed of light, gives the actual speeds for which superluminal mo- tion is observed by O for a given 0. Invert the above relation to obtain the relation sin -1 - 2,82 )] << sin -1 (1+√√2,ẞ32 28 where 6 = v/c, and which gives the angles for which superluminal motion is observed by O for a given ẞ.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A knot (or blob) in a jet is ejected from an AGN and is observed by an observer O. The actual speed of the blob with respect to O is v and 0 is the angle between the direction of motion of the blob and the line of sight joining observer O and AGN. = 60° 1. Write down the relation between the apparent and the actual speed. For then determine the largest possible apparent speed of the blob with respect to O.
Transcribed Image Text:A knot (or blob) in a jet is ejected from an AGN and is observed by an observer O. The actual speed of the blob with respect to O is v and 0 is the angle between the direction of motion of the blob and the line of sight joining observer O and AGN. = 60° 1. Write down the relation between the apparent and the actual speed. For then determine the largest possible apparent speed of the blob with respect to O.
2. The relation 1 C sin + cos 0' where c is the speed of light, gives the actual speeds for which superluminal mo- tion is observed by O for a given 0. Invert the above relation to obtain the relation sin -1 - 2,82 )] << sin -1 (1+√√2,ẞ32 28 where 6 = v/c, and which gives the angles for which superluminal motion is observed by O for a given ẞ.
Transcribed Image Text:2. The relation 1 C sin + cos 0' where c is the speed of light, gives the actual speeds for which superluminal mo- tion is observed by O for a given 0. Invert the above relation to obtain the relation sin -1 - 2,82 )] << sin -1 (1+√√2,ẞ32 28 where 6 = v/c, and which gives the angles for which superluminal motion is observed by O for a given ẞ.
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