Ārta-prapatti — The Prapanna's Urgent Longing for Mokṣa
In the technical Śrī Vaiṣṇava distinction, an ārta-prapanna is one who has surrendered to Bhagavān and cannot bear continued residence in saṃsāra. Such a person longs for the remaining obstacles to be removed and for Bhagavān to grant Paramapada at the conclusion of the present body. The urgency concerns liberation and uninterrupted kainkaryam—not simply relief from a temporary worldly danger.
The contrasting dṛpta-prapanna is equally surrendered but accepts remaining in this world for as long as Bhagavān wills, using the present life for Bhagavad-, Bhāgavata-, and Āchārya-kainkaryam. The difference lies in the urgency of longing for the final attainment, not in one person having 'philosophical understanding' while the other surrenders only from emotion.
Draupadī and Gajendra are celebrated examples of calling exclusively upon Bhagavān in crisis and powerfully illustrate ananya-gatitva. They illuminate the mood of helpless exclusive refuge and ananya-gatitva. The technical category ārta-prapanna, however, is defined by intolerable longing for release from saṃsāra and final attainment of Bhagavān. His vātsalya and rakṣakatva are intrinsic and eternal, not qualities activated only by witnessing distress.