A Pulsar Vector Observation-Based Link Acquisition Method for X-Ray Communications

Algorithm 1

Pulsar vector search algorithm.

1 Rotate around by , and obtain a new pointing vector .

2 Calculate the cross product of and , which is denoted by .

3 Rotate by around , and obtain a new pointing vector, .

4 At , obtain based on Eq.(13).

5 If

   Then, let and

   Turn to step 10

6 Else

   Rotate around by , and obtain a pointing vector .

   Calculate the cross product of and , denoted by .

   Rotate by around and obtain a new pointing vector, .

   At , obtain based on Eq.(13).

7    If

     Then, let and .

     Turn to step 10.

8    Else

     Rotate around by , and obtain a pointing vector .

     Calculate the cross product of and , denoted by .

     Rotate by , and obtain a new pointing vector, .

     At , obtain based on Eq.(13).

9      If

        Then, let and .

        Turn to step 10

      Else

        Rotate around by , and obtain a pointing vector .

       Calculate the cross product of and , denoted by .

       Rotate by , and obtain a new pointing vector, .

       At , obtain based on Eq.(13).

       Let and .

       Turn to step 10

10 If and

     Then, end the search.

    Else

     , and .

     Turn to step 1.