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#ActualKryzon

Posted 09 November 2012 - 10:08 PM

I think I understand. You're using triangle similarity:

Posted Image

First you find the magnitude of 'd' by using either the Law of Sines or Cosines. Then you can calculate the ratio of 'D / d', which you can then use to modulate Va or Vb to find the distance each object has to travel in order to reach the interception point.
This is a very smart solution. Thanks a lot!

EDIT: I see now you're finding the angle between Vba and Vb with the Law of Sines, which is just as well. The angle object B needs to be turned by will be 'alpha + beta' (as it's external to the triangle, and relative to A's path).

#4Kryzon

Posted 09 November 2012 - 10:08 PM

I think I understand. You're using triangle similarity:

Posted Image

First you find the magnitude of 'd' by using either the Law of Sines or Cosines. Then you can calculate the ratio of 'D / d', which you can then use to modulate Va or Vb to find the distance each object has to travel in order to reach the interception point.
This is a very smart solution. Thanks a lot!

EDIT: I see now you're finding the angle between Vba and Vb with the Law of Sines, which is just as well. The angle object B needs to be turned by will be 'alpha + beta' (as it's external to the triangle, and relative to A's path).

#3Kryzon

Posted 09 November 2012 - 09:29 PM

I think I understand. You're using triangle similarity:

Posted Image

First you find the magnitude of 'd' by using either the Law of Sines or Cosines. Then you can calculate the ratio of 'D / d', which you can then use to modulate Va or Vb to find the distance each object has to travel in order to reach the interception point.
This is a very smart solution. Thanks a lot!

EDIT: I see now you're finding the angle between Vba and Vb with the Law of Sines, which is just as well. The angle object B needs to be turned by will be 'alpha + beta' (as it's external to the triangle, and relative to the X axis).

#2Kryzon

Posted 09 November 2012 - 09:28 PM

I think I understand. You're using triangle similarity:

Posted Image

First you find the magnitude of 'd' by using either the Law of Sines or Cosines. Then you can calculate the ratio of 'D / d', which you can then use to modulate Va or Vb to find the distance each object has to travel in order to reach the interception point.
This is a very smart solution. Thanks a lot!

EDIT: I see now you're finding the angle between AB and B with the Law of Sines, which is just as well. The angle object B needs to be turned by will be 'alpha + beta' (as it's external to the triangle, and relative to the X axis).

#1Kryzon

Posted 09 November 2012 - 09:14 PM

I think I understand. You're using triangle similarity:

Posted Image

First you find the magnitude of 'd' by using either the Law of Sines or Cosines. Then you can calculate the ratio of 'D / d', which you can then use to modulate Va or Vb to find the distance each object has to travel in order to reach the interception point.
This is a very smart solution. Thanks a lot!

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