There are no perfect rhymes for the word "heliocentric", but here are some words that end with "centric" and you can use them as near rhymes:

1. acentric

2. acrocentric

3. afrocentric

4. amphicentric

5. androcentric

6. anglocentric

7. anthropocentric

8. areocentric

9. barycentric

10. bicentric

11. biocentric

12. centric

13. christocentric

14. concentric

15. dicentric

16. eccentric

17. egocentric

18. endocentric

19. ethnocentric

20. eurocentric

21. europocentric

22. excentric

23. exocentric

24. geocentric

25. heliocentric

26. heterocentric

27. homocentric

28. jovicentric

29. matricentric

30. metacentric

31. multicentric

32. neptunicentric

33. nonconcentric

34. paracentric

35. patricentric

36. phallocentric

37. polycentric

38. saturnicentric

39. selenecentric

40. selenocentric

41. sociocentric

42. submetacentric

43. telocentric

44. theocentric

from: rhymezone.com