{"id":"vidhyamitra:day:1763-08-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1763-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1763-08-13","date_display":"August 13, 1763 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":1763,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2365206.770833,"kali_year":4865,"ahargana":1776741.2708,"sun":{"sidereal_longitude":119.3175,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":167.9199,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.6024,"elapsed_within_tithi_degrees":0.6024},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":167.9199,"elapsed_within_degrees":7.9199},"yoga":{"number":22,"name":"Sādhya","sum_longitude":287.2374},"karana":{"half_tithi_index":8,"name":"Bava"},"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":1763,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2365206.770833,"ahargana":1776741.2708,"kali_year":4865,"ayanamsa_lahiri":20.5509,"grahas":{"sun":{"sidereal_longitude":119.36706500000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":170.606765,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":0.9176},"mars":{"sidereal_longitude":107.06496500000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":111.17866500000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":54.636664999999994,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":103.31006500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":19.780665,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":359.6972,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":179.6972,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":1763,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2365206.770833,"kali_year":4865,"ahargana":1776741.2708,"sun":{"sidereal_longitude":119.3175,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":167.9199,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.6024,"elapsed_within_tithi_degrees":0.6024},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":167.9199,"elapsed_within_degrees":7.9199},"yoga":{"number":22,"name":"Sādhya","sum_longitude":287.2374},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.918,"elongation":48.602},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.918,"opposition_distance":131.398}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1820,"vikram_samvatsara":"Durmukhi","saka_samvat":1685,"saka_samvatsara":"Subhānu","bengali_samvat":1170,"malayalam_era":939,"nanakshahi_year":294,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pañcamī · Vikram 1820 Durmukhi · Śaka 1685 Subhānu"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi_ingress":"Siṃha"},"precedence":5}],"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":"Dedicated festival walk for Siṁha Saṅkrānti is not live yet; Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1763-08-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 13, 1763 CE · Vidhyamitra","description":"Vedic pañchāṅga for August 13, 1763 CE: Śukla Pañcamī · Hasta.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1763-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1763-08-13","sa":"https://sa.vidhyamitra.com/day/1763-08-13","hi":"https://hi.vidhyamitra.com/day/1763-08-13","x-default":"https://vidhyamitra.com/day/1763-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-17T20:58:49.966Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-17T20:58:49.967Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}