{"id":"vidhyamitra:day:1787-07-14:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1787-07-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1787-07-14","date_display":"July 14, 1787 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":1787,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2373942.770833,"kali_year":4889,"ahargana":1785477.2708,"sun":{"sidereal_longitude":90.5813,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":79.3424,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.7611,"elapsed_within_tithi_degrees":0.7611},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":79.3424,"elapsed_within_degrees":12.6757},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.9237},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1787,"month":7,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2373942.770833,"ahargana":1785477.2708,"kali_year":4889,"ayanamsa_lahiri":20.885,"grahas":{"sun":{"sidereal_longitude":90.51568600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":77.65838600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":-0.1977},"mars":{"sidereal_longitude":33.546486000000016,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":118.11318599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":57.01088600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":68.147086,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":309.818086,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":256.8219,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":76.8219,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":1787,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2373942.770833,"kali_year":4889,"ahargana":1785477.2708,"sun":{"sidereal_longitude":90.5813,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":79.3424,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.7611,"elapsed_within_tithi_degrees":0.7611},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":79.3424,"elapsed_within_degrees":12.6757},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.9237},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.198,"elongation":11.239},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.198,"opposition_distance":168.761}},"eclipse_window_40days":[{"offset_days":1,"type":"solar","occurs":true,"moon_latitude":-1.315,"elongation":2.243}]},"calendars":{"vikram_samvat":1844,"vikram_samvatsara":"Raudra","saka_samvat":1709,"saka_samvatsara":"Plavaṅga","bengali_samvat":1194,"malayalam_era":963,"nanakshahi_year":318,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Amāvasyā · Vikram 1844 Raudra · Śaka 1709 Plavaṅga"},"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}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"1787-07-14T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga July 14, 1787 CE · Vidhyamitra","description":"Vedic pañchāṅga for July 14, 1787 CE: Kṛṣṇa Amāvasyā · Ārdrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1787-07-14","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1787-07-14","sa":"https://sa.vidhyamitra.com/day/1787-07-14","hi":"https://hi.vidhyamitra.com/day/1787-07-14","x-default":"https://vidhyamitra.com/day/1787-07-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-25T07:15:45.679Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-25T07:15:45.679Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}