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

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).

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### #4Kryzon

Posted 09 November 2012 - 10:08 PM

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

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).

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:

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).

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:

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).

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:

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!

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!