{"id":"vidhyamitra:day:1642-10-01:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1642-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1642-10-01","date_display":"October 1, 1642 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":1642,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2321061.770833,"kali_year":4744,"ahargana":1732596.2708,"sun":{"sidereal_longitude":169.1155,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":255.9617,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.8462,"elapsed_within_tithi_degrees":2.8462},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.9617,"elapsed_within_degrees":2.6283},"yoga":{"number":5,"name":"Śobhana","sum_longitude":65.0772},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1642,"month":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2321061.770833,"ahargana":1732596.2708,"kali_year":4744,"ayanamsa_lahiri":18.8625,"grahas":{"sun":{"sidereal_longitude":168.999229,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":253.940429,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":4.3888},"mars":{"sidereal_longitude":33.39402899999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":168.68302900000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":325.68302900000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":212.68602899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":335.94742900000006,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":178.7117,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":358.7117,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":1642,"month":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2321061.770833,"kali_year":4744,"ahargana":1732596.2708,"sun":{"sidereal_longitude":169.1155,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":255.9617,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.8462,"elapsed_within_tithi_degrees":2.8462},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":255.9617,"elapsed_within_degrees":2.6283},"yoga":{"number":5,"name":"Śobhana","sum_longitude":65.0772},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.389,"elongation":86.846},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.389,"opposition_distance":93.154}},"eclipse_window_40days":[{"offset_days":-7,"type":"solar","occurs":true,"moon_latitude":-1.388,"elongation":1.118},{"offset_days":7,"type":"lunar","occurs":true,"moon_latitude":0.154,"opposition_distance":0.335}]},"calendars":{"vikram_samvat":1699,"vikram_samvatsara":"Manmatha","saka_samvat":1564,"saka_samvatsara":"Citrabhānu","bengali_samvat":1049,"malayalam_era":818,"nanakshahi_year":173,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Aṣṭamī · Vikram 1699 Manmatha · Śaka 1564 Citrabhānu"},"festivals":[{"id":"durga-ashtami","name":"Mahā-Aṣṭamī (Durgā-Aṣṭamī)","name_sanskrit":"महाष्टमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"8th day of Śāradīya Navrātri; Mahiṣāsura-mardinī kṣaṇa.","vrata":true,"detection":{"tithi_number":8,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1642-10-01T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 1, 1642 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 1, 1642 CE: Śukla Aṣṭamī · Pūrva Āṣāḍhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1642-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1642-10-01","sa":"https://sa.vidhyamitra.com/day/1642-10-01","hi":"https://hi.vidhyamitra.com/day/1642-10-01","x-default":"https://vidhyamitra.com/day/1642-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-14T19:26:26.226Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-14T19:26:26.226Z","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"}}}