{"id":"vidhyamitra:day:1940-09-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1940-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1940-09-13","date_display":"September 13, 1940 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":1940,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429885.770833,"kali_year":5042,"ahargana":1841420.2708,"sun":{"sidereal_longitude":146.4874,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":285.4093,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":138.9219,"elapsed_within_tithi_degrees":6.9219},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":285.4093,"elapsed_within_degrees":5.4093},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":71.8967},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1940,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2429885.770833,"ahargana":1841420.2708,"kali_year":5042,"ayanamsa_lahiri":23.0246,"grahas":{"sun":{"sidereal_longitude":147.06805199999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":287.48295200000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":4.1503},"mars":{"sidereal_longitude":143.36215200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":155.23175200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":23.180352000000028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":102.11245200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":21.922752000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":172.6925,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":352.6925,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":1940,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429885.770833,"kali_year":5042,"ahargana":1841420.2708,"sun":{"sidereal_longitude":146.4874,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":285.4093,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":138.9219,"elapsed_within_tithi_degrees":6.9219},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":285.4093,"elapsed_within_degrees":5.4093},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":71.8967},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.15,"elongation":138.922},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.15,"opposition_distance":41.078}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1997,"vikram_samvatsara":"Vijaya","saka_samvat":1862,"saka_samvatsara":"Vikrama","bengali_samvat":1347,"malayalam_era":1116,"nanakshahi_year":471,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Dvādaśī · Vikram 1997 Vijaya · Śaka 1862 Vikrama"},"festivals":[{"id":"vamana-jayanti","name":"Vāmana Jayantī","name_sanskrit":"वामन जयन्ती","tradition":"Vaishnava","associated_deity":"Vāmana (5th daśāvatāra of Krishna)","deity_avatara_index":15,"significance":"Vāmana's three-step measure of all worlds; Bali's surrender. (= Onam in Kerala.)","vrata":true,"detection":{"tithi_number":12,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":2,"sources":["Bhāgavata 8.18-22"]},{"id":"onam","name":"Onam (Vāmana / King Bali)","name_sanskrit":"ओणम् (वामन-बलि स्मरण)","tradition":"Regional","associated_deity":"Vāmana + King Bali","significance":"Kerala festival; King Bali's annual return to Kerala. Aligned with Thiru-Onam (Śravaṇa nakshatra in Bhādrapada).","vrata":false,"detection":{"nakshatra_name":"Śravaṇa","lunar_month":"Bhādrapada"},"precedence":2},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1940-09-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 13, 1940 CE · Vidhyamitra","description":"Vedic pañchāṅga for September 13, 1940 CE: Śukla Dvādaśī · Śravaṇa.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1940-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1940-09-13","sa":"https://sa.vidhyamitra.com/day/1940-09-13","hi":"https://hi.vidhyamitra.com/day/1940-09-13","x-default":"https://vidhyamitra.com/day/1940-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T07:15:22.400Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T07:15:22.400Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}