{"id":"vidhyamitra:day:1963-07-18:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1963-07-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1963-07-18","date_display":"July 18, 1963 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":1963,"month":7,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438228.770833,"kali_year":5065,"ahargana":1849763.2708,"sun":{"sidereal_longitude":91.0161,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":55.6239,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.6078,"elapsed_within_tithi_degrees":0.6078},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.6239,"elapsed_within_degrees":2.2905},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":146.64},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1963,"month":7,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438228.770833,"ahargana":1849763.2708,"kali_year":5065,"ayanamsa_lahiri":23.3437,"grahas":{"sun":{"sidereal_longitude":91.37638800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":54.311688000000004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-2.5804},"mars":{"sidereal_longitude":151.744188,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":96.72448800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":356.013188,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":80.111088,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":298.97398799999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":90.6402,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":270.6402,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":1963,"month":7,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438228.770833,"kali_year":5065,"ahargana":1849763.2708,"sun":{"sidereal_longitude":91.0161,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":55.6239,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.6078,"elapsed_within_tithi_degrees":0.6078},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":55.6239,"elapsed_within_degrees":2.2905},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":146.64},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.58,"elongation":35.392},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.58,"opposition_distance":144.608}},"eclipse_window_40days":[{"offset_days":-11,"type":"lunar","occurs":true,"moon_latitude":0.737,"opposition_distance":1.189}]},"calendars":{"vikram_samvat":2020,"vikram_samvatsara":"Nala","saka_samvat":1885,"saka_samvatsara":"Śobhana","bengali_samvat":1370,"malayalam_era":1139,"nanakshahi_year":494,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram 2020 Nala · Śaka 1885 Śobhana"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1963-07-18T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga July 18, 1963 CE · Vidhyamitra","description":"Vedic pañchāṅga for July 18, 1963 CE: Kṛṣṇa Trayodaśī · Mṛgaśīrṣā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1963-07-18","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1963-07-18","sa":"https://sa.vidhyamitra.com/day/1963-07-18","hi":"https://hi.vidhyamitra.com/day/1963-07-18","x-default":"https://vidhyamitra.com/day/1963-07-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T06:24:46.392Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T06:24:46.392Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}