{"id":"vidhyamitra:day:1782-05-31:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1782-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1782-05-31","date_display":"May 31, 1782 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1782,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2372072.770833,"kali_year":4884,"ahargana":1783607.2708,"sun":{"sidereal_longitude":49.1674,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":282.4079,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.2405,"elapsed_within_tithi_degrees":5.2405},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.4079,"elapsed_within_degrees":2.4079},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.5753},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1782,"month":5,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2372072.770833,"ahargana":1783607.2708,"kali_year":4884,"ayanamsa_lahiri":20.8135,"grahas":{"sun":{"sidereal_longitude":48.796334,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":283.990734,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":-4.3142},"mars":{"sidereal_longitude":79.024134,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":62.088134000000025,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":248.07023400000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"venus":{"sidereal_longitude":5.991934000000015,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":251.44273399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":355.9035,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":175.9035,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1782,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2372072.770833,"kali_year":4884,"ahargana":1783607.2708,"sun":{"sidereal_longitude":49.1674,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":282.4079,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.2405,"elapsed_within_tithi_degrees":5.2405},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.4079,"elapsed_within_degrees":2.4079},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.5753},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.314,"elongation":126.76},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.314,"opposition_distance":53.24}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1839,"vikram_samvatsara":"Rākṣasa","saka_samvat":1704,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1189,"malayalam_era":958,"nanakshahi_year":313,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Pañcamī · Vikram 1839 Rākṣasa · Śaka 1704 Śubhakṛt"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1782-05-31T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga May 31, 1782 CE · Vidhyamitra","description":"Vedic pañchāṅga for May 31, 1782 CE: Kṛṣṇa Pañcamī · Śravaṇa.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1782-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1782-05-31","sa":"https://sa.vidhyamitra.com/day/1782-05-31","hi":"https://hi.vidhyamitra.com/day/1782-05-31","x-default":"https://vidhyamitra.com/day/1782-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-25T14:09:17.820Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-25T14:09:17.820Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}