{"id":"vidhyamitra:day:1731-08-30:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1731-08-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1731-08-30","date_display":"August 30, 1731 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":1731,"month":8,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2353535.770833,"kali_year":4833,"ahargana":1765070.2708,"sun":{"sidereal_longitude":135.9148,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":107.6481,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.7333,"elapsed_within_tithi_degrees":7.7333},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.6481,"elapsed_within_degrees":0.9814},"yoga":{"number":19,"name":"Parigha","sum_longitude":243.5629},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1731,"month":8,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2353535.770833,"ahargana":1765070.2708,"kali_year":4833,"ayanamsa_lahiri":20.1045,"grahas":{"sun":{"sidereal_longitude":135.958483,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":108.81958300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":-2.2186},"mars":{"sidereal_longitude":115.81048299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":157.109283,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":150.456483,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":122.42598299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":345.722583,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":258.0829,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":78.0829,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"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":1731,"month":8,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2353535.770833,"kali_year":4833,"ahargana":1765070.2708,"sun":{"sidereal_longitude":135.9148,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":107.6481,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.7333,"elapsed_within_tithi_degrees":7.7333},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.6481,"elapsed_within_degrees":0.9814},"yoga":{"number":19,"name":"Parigha","sum_longitude":243.5629},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.219,"elongation":28.267},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.219,"opposition_distance":151.733}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1788,"vikram_samvatsara":"Raktākṣī","saka_samvat":1653,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1138,"malayalam_era":907,"nanakshahi_year":262,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Trayodaśī · Vikram 1788 Raktākṣī · Śaka 1653 Virodhakṛt"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1731-08-30T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 30, 1731 CE · Vidhyamitra","description":"Vedic pañchāṅga for August 30, 1731 CE: Kṛṣṇa Trayodaśī · Āśleṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1731-08-30","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1731-08-30","sa":"https://sa.vidhyamitra.com/day/1731-08-30","hi":"https://hi.vidhyamitra.com/day/1731-08-30","x-default":"https://vidhyamitra.com/day/1731-08-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-28T23:23:11.283Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-28T23:23:11.283Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}