Path Planning Algorithm D*(Dstar) Algorithm's Time, Space, Complexity?

I have studied about path planning.

And I know number of search algorithm like A*(Astar) and D*(Dstar) Algorithm.

1. A* is path planning algorithm in Static environment.

D* is path planning algorithm in Dynamic environment.

That's right?

  • If Question 1 is Correct, D*'s time or space or complexity depends on environment?
  • I know A*'s time Complexity O(b^d) and space Complexity O(b^d).

    I want to know D*'s time and space complexity like A* in Big-O.

    I'm sorry that I can't english very well. Thank you for reading my question.

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