{"id":"vidhyamitra:day:1968-10-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1968-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1968-10-13","date_display":"October 13, 1968 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":1968,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440142.770833,"kali_year":5070,"ahargana":1851677.2708,"sun":{"sidereal_longitude":175.6908,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":71.5392,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":255.8484,"elapsed_within_tithi_degrees":3.8484},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":71.5392,"elapsed_within_degrees":4.8726},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.23},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1968,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2440142.770833,"ahargana":1851677.2708,"kali_year":5070,"ayanamsa_lahiri":23.4169,"grahas":{"sun":{"sidereal_longitude":176.35155899999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":68.80455900000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":4.4595},"mars":{"sidereal_longitude":140.278659,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":182.75105899999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":150.731759,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":207.04785900000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":359.433259,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":349.2273,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":169.2273,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1968,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440142.770833,"kali_year":5070,"ahargana":1851677.2708,"sun":{"sidereal_longitude":175.6908,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":71.5392,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":255.8484,"elapsed_within_tithi_degrees":3.8484},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":71.5392,"elapsed_within_degrees":4.8726},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.23},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.459,"elongation":104.152},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.459,"opposition_distance":75.848}},"eclipse_window_40days":[{"offset_days":9,"type":"solar","occurs":true,"moon_latitude":-1.277,"elongation":0.601}]},"calendars":{"vikram_samvat":2025,"vikram_samvatsara":"Durmati","saka_samvat":1890,"saka_samvatsara":"Kīlaka","bengali_samvat":1375,"malayalam_era":1144,"nanakshahi_year":499,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Saptamī · Vikram 2025 Durmati · Śaka 1890 Kīlaka"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1968-10-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 13, 1968 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 13, 1968 CE: Kṛṣṇa Saptamī · Ārdrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1968-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1968-10-13","sa":"https://sa.vidhyamitra.com/day/1968-10-13","hi":"https://hi.vidhyamitra.com/day/1968-10-13","x-default":"https://vidhyamitra.com/day/1968-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T08:28:10.348Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T08:28:10.348Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}