{"id":"vidhyamitra:day:1851-07-29:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1851-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1851-07-29","date_display":"July 29, 1851 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":1851,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2397332.770833,"kali_year":4953,"ahargana":1808867.2708,"sun":{"sidereal_longitude":103.3326,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":108.0263,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.6936,"elapsed_within_tithi_degrees":4.6936},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":108.0263,"elapsed_within_degrees":1.3596},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.3589},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1851,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2397332.770833,"ahargana":1808867.2708,"kali_year":4953,"ayanamsa_lahiri":21.7796,"grahas":{"sun":{"sidereal_longitude":103.503916,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":109.44311600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":0.8207},"mars":{"sidereal_longitude":49.304516000000035,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":119.45421599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":176.71111599999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":88.563716,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":13.900015999999994,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":97.5071,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":277.5071,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":1851,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2397332.770833,"kali_year":4953,"ahargana":1808867.2708,"sun":{"sidereal_longitude":103.3326,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":108.0263,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.6936,"elapsed_within_tithi_degrees":4.6936},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":108.0263,"elapsed_within_degrees":1.3596},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.3589},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.821,"elongation":4.694},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.821,"opposition_distance":175.306}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":0.916,"opposition_distance":1.556}]},"calendars":{"vikram_samvat":1908,"vikram_samvatsara":"Raktākṣī","saka_samvat":1773,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1258,"malayalam_era":1027,"nanakshahi_year":382,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pratipada · Vikram 1908 Raktākṣī · Śaka 1773 Virodhakṛt"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1851-07-29T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga July 29, 1851 CE · Vidhyamitra","description":"Vedic pañchāṅga for July 29, 1851 CE: Śukla Pratipada · Āśleṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1851-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1851-07-29","sa":"https://sa.vidhyamitra.com/day/1851-07-29","hi":"https://hi.vidhyamitra.com/day/1851-07-29","x-default":"https://vidhyamitra.com/day/1851-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T02:39:12.849Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-19T02:39:12.849Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}