Docetaxel, Trabectedin, and G-CSF or Pegfilgrastim in Treating Patients With Recurrent or Persistent Ovarian Epithelial Cancer, Primary Peritoneal Cavity Cancer, or Fallopian Tube Cancer

OBJECTIVES: Primary * To estimate the antitumor activity of docetaxel plus trabectedin in patients with persistent or recurrent ovarian epithelial, fallopian tube, or primary peritoneal cavity cancer primarily through the frequency of objective tumor responses. * To determine the nature and degree of toxicity of docetaxel plus trabectedin in this cohort of patients. Secondary * To estimate the progression-free survival and overall survival of patients treated with docetaxel and trabectedin. OUTLINE: Patients receive docetaxel IV over 1 hour and trabectedin IV over 3 hours on day 1. Patients also receive pegfilgrastim subcutaneously (SC) on day 1 OR filgrastim (G-CSF) IV over 15-30 minutes or SC once daily beginning on day 1 and continuing until blood counts recover. Treatment repeats every 3 weeks in the absence of disease progression or unacceptable toxicity. After completion of study treatment, patients are followed every 3 months for 2 years and then every 6 months for 3 years.