{"id":"vidhyamitra:day:2409-10-20:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2409-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2409-10-20","date_display":"October 20, 2409 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":2409,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2601221.770833,"kali_year":5511,"ahargana":2012756.2708,"sun":{"sidereal_longitude":175.5801,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":307.4268,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":131.8467,"elapsed_within_tithi_degrees":11.8467},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.4268,"elapsed_within_degrees":0.7601},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.0069},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"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":2409,"month":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2601221.770833,"ahargana":2012756.2708,"kali_year":5511,"ayanamsa_lahiri":29.5776,"grahas":{"sun":{"sidereal_longitude":177.312857,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":310.644057,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-2.4452},"mars":{"sidereal_longitude":235.95655699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":160.04075699999999,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":194.38195700000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":181.23145699999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":341.738457,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":94.4867,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":274.4867,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"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":2409,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2601221.770833,"kali_year":5511,"ahargana":2012756.2708,"sun":{"sidereal_longitude":175.5801,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":307.4268,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":131.8467,"elapsed_within_tithi_degrees":11.8467},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.4268,"elapsed_within_degrees":0.7601},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.0069},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.445,"elongation":131.847},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.445,"opposition_distance":48.153}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2466,"vikram_samvatsara":"Citrabhānu","saka_samvat":2331,"saka_samvatsara":"Śukla","bengali_samvat":1816,"malayalam_era":1585,"nanakshahi_year":940,"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 Ekādaśī · Vikram 2466 Citrabhānu · Śaka 2331 Śukla"},"festivals":[{"id":"pashankusha-ekadashi","name":"Pāśāṅkuśā Ekādaśī","name_sanskrit":"पाशाङ्कुशा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Padmanābha (Viṣṇu)","significance":"Confers strength + wealth + son; equivalent to 1000 Aśvamedha-yajñas.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":"2409-10-20T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 20, 2409 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 20, 2409 CE: Śukla Ekādaśī · Śatabhiṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2409-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2409-10-20","sa":"https://sa.vidhyamitra.com/day/2409-10-20","hi":"https://hi.vidhyamitra.com/day/2409-10-20","x-default":"https://vidhyamitra.com/day/2409-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-14T17:27:00.063Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-14T17:27:00.063Z","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"}}}