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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.

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 70P
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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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