{"id":"vidhyamitra:city-day:vrindavan:2185-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2185-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2185-09-13","date_display":"September 13, 2185 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":2185,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519370.770833,"kali_year":5287,"ahargana":1930905.2708,"sun":{"sidereal_longitude":143.1924,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":3.0492,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.8569,"elapsed_within_tithi_degrees":3.8569},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":3.0492,"elapsed_within_degrees":3.0492},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":146.2416},"karana":{"half_tithi_index":36,"name":"Bava"},"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":2185,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2519370.770833,"ahargana":1930905.2708,"kali_year":5287,"ayanamsa_lahiri":26.4471,"grahas":{"sun":{"sidereal_longitude":144.360567,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":5.1979670000000056,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":-4.272},"mars":{"sidereal_longitude":190.87876700000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":166.40916700000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":228.08256700000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":124.88376699999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":140.979967,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":111.3466,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":291.3466,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2185,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2519370.770833,"kali_year":5287,"ahargana":1930905.2708,"sun":{"sidereal_longitude":143.1924,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":3.0492,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.8569,"elapsed_within_tithi_degrees":3.8569},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":3.0492,"elapsed_within_degrees":3.0492},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":146.2416},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.272,"elongation":140.143},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.272,"opposition_distance":39.857}},"eclipse_window_40days":[{"offset_days":-19,"type":"solar","occurs":true,"moon_latitude":0.838,"elongation":1.782}]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:03","sunsetLocal":"18:26","solarNoonLocal":"12:15","dayLengthHours":12.379585361697064,"dayLengthDisplay":"12 Hours 22 Mins 47 Secs","nightLengthDisplay":"11 Hours 37 Mins 13 Secs","moonriseLocal":"20:30","moonsetLocal":"09:26","rahuKala":{"name":"Rāhu Kāla","start":"15:20","end":"16:53","startHours":15.338378491593165,"endHours":16.885826661805297,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:09","end":"10:42","startHours":9.148585810744635,"endHours":10.696033980956766,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:15","end":"13:47","startHours":12.2434821511689,"endHours":13.790930321381033,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:21","startHours":8.942259388049683,"endHours":9.354912233439585,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:54","startHours":6.569505527057745,"endHours":6.899627803369667,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:39","startHours":11.830829305778998,"endHours":12.656134996558801,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:24","end":"05:14","startHours":4.4030780887607595,"endHours":5.228383779540564,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:01","end":"06:03","startHours":5.022057356845613,"endHours":6.053689470320368,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:08","startHours":14.306746378118412,"endHours":15.132052068898217,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.233274832017432,"endHours":18.63327483201743,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:57","startHours":18.433274832017432,"endHours":18.94909088875481,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.183274832017432,"endHours":19.933274832017432,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:39","startHours":23.830829305778995,"endHours":24.6561349965588,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:03","end":"07:36","startHours":6.053689470320368,"endHours":7.601137640532501,"quality":"inauspicious"},{"name":"Udveg","start":"07:36","end":"09:09","startHours":7.601137640532501,"endHours":9.148585810744635,"quality":"inauspicious"},{"name":"Chala","start":"09:09","end":"10:42","startHours":9.148585810744635,"endHours":10.696033980956766,"quality":"neutral"},{"name":"Labha","start":"10:42","end":"12:15","startHours":10.696033980956766,"endHours":12.2434821511689,"quality":"auspicious"},{"name":"Amṛta","start":"12:15","end":"13:47","startHours":12.2434821511689,"endHours":13.790930321381033,"quality":"auspicious"},{"name":"Kāla","start":"13:47","end":"15:20","startHours":13.790930321381033,"endHours":15.338378491593165,"quality":"inauspicious"},{"name":"Śubha","start":"15:20","end":"16:53","startHours":15.338378491593165,"endHours":16.885826661805297,"quality":"auspicious"},{"name":"Roga","start":"16:53","end":"18:26","startHours":16.885826661805297,"endHours":18.433274832017432,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:26","end":"19:53","startHours":18.433274832017432,"endHours":19.8858266618053,"quality":"inauspicious"},{"name":"Śubha","start":"19:53","end":"21:20","startHours":19.8858266618053,"endHours":21.338378491593165,"quality":"auspicious"},{"name":"Roga","start":"21:20","end":"22:47","startHours":21.338378491593165,"endHours":22.790930321381033,"quality":"inauspicious"},{"name":"Udveg","start":"22:47","end":"00:15","startHours":22.790930321381033,"endHours":24.243482151168898,"quality":"inauspicious"},{"name":"Chala","start":"00:15","end":"01:42","startHours":24.243482151168898,"endHours":25.696033980956766,"quality":"neutral"},{"name":"Labha","start":"01:42","end":"03:09","startHours":25.696033980956766,"endHours":27.148585810744635,"quality":"auspicious"},{"name":"Amṛta","start":"03:09","end":"04:36","startHours":27.148585810744635,"endHours":28.6011376405325,"quality":"auspicious"},{"name":"Kāla","start":"04:36","end":"06:03","startHours":28.6011376405325,"endHours":30.053689470320368,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.053689470320368,"endHours":7.053689470320368,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.053689470320368,"endHours":8.053689470320368,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.053689470320368,"endHours":9.053689470320368,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.053689470320368,"endHours":10.053689470320368,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.053689470320368,"endHours":11.053689470320368,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.053689470320368,"endHours":12.053689470320368,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.053689470320368,"endHours":13.053689470320368,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.053689470320368,"endHours":14.053689470320368,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.053689470320368,"endHours":15.053689470320368,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.053689470320368,"endHours":16.053689470320368,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.053689470320368,"endHours":17.053689470320368,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.053689470320368,"endHours":18.053689470320368,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.053689470320368,"endHours":19.053689470320368,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.053689470320368,"endHours":20.053689470320368,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.053689470320368,"endHours":21.053689470320368,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.053689470320368,"endHours":22.053689470320368,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.053689470320368,"endHours":23.053689470320368,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.053689470320368,"endHours":24.053689470320368,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.053689470320368,"endHours":25.053689470320368,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.053689470320368,"endHours":26.053689470320368,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.053689470320368,"endHours":27.053689470320368,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.053689470320368,"endHours":28.053689470320368,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.053689470320368,"endHours":29.053689470320368,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.053689470320368,"endHours":30.053689470320368,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.642878722471268,"eotMinutes":4.753870929866006,"ayanamsa":26.4471}},"calendars":{"vikram_samvat":2242,"vikram_samvatsara":"Vilambī","saka_samvat":2107,"saka_samvatsara":"Pārthiva","bengali_samvat":1592,"malayalam_era":1361,"nanakshahi_year":716,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturthī · Vikram 2242 Vilambī · Śaka 2107 Pārthiva"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 13, 2185 CE · Vṛndāvana · Vidhyamitra","description":"September 13, 2185 CE for Vṛndāvana: Kṛṣṇa Caturthī, sūryodaya 06:03, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2185-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2185-09-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2185-09-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2185-09-13","x-default":"https://vidhyamitra.com/city/vrindavan/2185-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T07:53:45.530Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-01T07:53:45.530Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T07:53:45.530Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}