{"id":"vidhyamitra:day:1852-07-31:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1852-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1852-07-31","date_display":"July 31, 1852 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":1852,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2397700.770833,"kali_year":4954,"ahargana":1809235.2708,"sun":{"sidereal_longitude":105.9389,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":287.237,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":181.2981,"elapsed_within_tithi_degrees":1.2981},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.237,"elapsed_within_degrees":7.237},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":33.1759},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1852,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2397700.770833,"ahargana":1809235.2708,"kali_year":4954,"ayanamsa_lahiri":21.7937,"grahas":{"sun":{"sidereal_longitude":106.128356,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":285.55945599999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":-2.1956},"mars":{"sidereal_longitude":158.80445599999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":134.24895600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":204.286156,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":93.29195600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":26.919556,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":78.0087,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.0087,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":1852,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2397700.770833,"kali_year":4954,"ahargana":1809235.2708,"sun":{"sidereal_longitude":105.9389,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":287.237,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":181.2981,"elapsed_within_tithi_degrees":1.2981},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.237,"elapsed_within_degrees":7.237},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":33.1759},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.196,"elongation":178.702},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.196,"opposition_distance":1.298}},"eclipse_window_40days":[{"offset_days":-14,"type":"solar","occurs":true,"moon_latitude":0.885,"elongation":2.546}]},"calendars":{"vikram_samvat":1909,"vikram_samvatsara":"Krodhana","saka_samvat":1774,"saka_samvatsara":"Paridhāvi","bengali_samvat":1259,"malayalam_era":1028,"nanakshahi_year":383,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Pratipada · Vikram 1909 Krodhana · Śaka 1774 Paridhāvi"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1852-07-31T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga July 31, 1852 CE · Vidhyamitra","description":"Vedic pañchāṅga for July 31, 1852 CE: Kṛṣṇa Pratipada · Śravaṇa.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1852-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1852-07-31","sa":"https://sa.vidhyamitra.com/day/1852-07-31","hi":"https://hi.vidhyamitra.com/day/1852-07-31","x-default":"https://vidhyamitra.com/day/1852-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T07:44:32.733Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-19T07:44:32.733Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}