{"id":"vidhyamitra:city-day:vrindavan:2178-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2178-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2178-09-13","date_display":"September 13, 2178 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":2178,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516813.770833,"kali_year":5280,"ahargana":1928348.2708,"sun":{"sidereal_longitude":143.0094,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":157.9733,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":14.9638,"elapsed_within_tithi_degrees":2.9638},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":157.9733,"elapsed_within_degrees":11.3066},"yoga":{"number":23,"name":"Śubha","sum_longitude":300.9827},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2178,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2516813.770833,"ahargana":1928348.2708,"kali_year":5280,"ayanamsa_lahiri":26.3493,"grahas":{"sun":{"sidereal_longitude":144.16006300000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":159.60606299999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":-4.4991},"mars":{"sidereal_longitude":7.631062999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":162.72386299999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":46.492163000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":135.921563,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":53.632262999999966,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":246.8287,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":66.8287,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"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":2178,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516813.770833,"kali_year":5280,"ahargana":1928348.2708,"sun":{"sidereal_longitude":143.0094,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":157.9733,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":14.9638,"elapsed_within_tithi_degrees":2.9638},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":157.9733,"elapsed_within_degrees":11.3066},"yoga":{"number":23,"name":"Śubha","sum_longitude":300.9827},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.499,"elongation":14.964},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.499,"opposition_distance":165.036}},"eclipse_window_40days":[]},"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":12.387811918186086,"dayLengthDisplay":"12 Hours 23 Mins 16 Secs","nightLengthDisplay":"11 Hours 36 Mins 44 Secs","moonriseLocal":"07:19","moonsetLocal":"19:14","rahuKala":{"name":"Rāhu Kāla","start":"16:53","end":"18:26","startHours":16.88891162048868,"endHours":18.437388110261942,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:15","end":"13:48","startHours":12.243482151168898,"endHours":13.791958640942159,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:20","end":"16:53","startHours":15.34043513071542,"endHours":16.88891162048868,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.940065639652609,"endHours":9.352992703592145,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:54","startHours":6.565735022000276,"endHours":6.896076673151906,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:39","startHours":11.830555087229364,"endHours":12.656409215108436,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:24","end":"05:13","startHours":4.397867936317711,"endHours":5.223722064196783,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:01","end":"06:03","startHours":5.017258532227015,"endHours":6.049576192075856,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:08","startHours":14.30811747086658,"endHours":15.133971598745653,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.237388110261943,"endHours":18.63738811026194,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:57","startHours":18.437388110261942,"endHours":18.953546940186364,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.187388110261942,"endHours":19.937388110261942,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:39","startHours":23.83055508722936,"endHours":24.656409215108436,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:03","end":"07:36","startHours":6.049576192075856,"endHours":7.598052681849117,"quality":"inauspicious"},{"name":"Chala","start":"07:36","end":"09:09","startHours":7.598052681849117,"endHours":9.146529171622378,"quality":"neutral"},{"name":"Labha","start":"09:09","end":"10:42","startHours":9.146529171622378,"endHours":10.695005661395637,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:15","startHours":10.695005661395637,"endHours":12.243482151168898,"quality":"auspicious"},{"name":"Kāla","start":"12:15","end":"13:48","startHours":12.243482151168898,"endHours":13.791958640942159,"quality":"inauspicious"},{"name":"Śubha","start":"13:48","end":"15:20","startHours":13.791958640942159,"endHours":15.34043513071542,"quality":"auspicious"},{"name":"Roga","start":"15:20","end":"16:53","startHours":15.34043513071542,"endHours":16.88891162048868,"quality":"inauspicious"},{"name":"Udveg","start":"16:53","end":"18:26","startHours":16.88891162048868,"endHours":18.437388110261942,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:26","end":"19:53","startHours":18.437388110261942,"endHours":19.88891162048868,"quality":"auspicious"},{"name":"Roga","start":"19:53","end":"21:20","startHours":19.88891162048868,"endHours":21.34043513071542,"quality":"inauspicious"},{"name":"Udveg","start":"21:20","end":"22:48","startHours":21.34043513071542,"endHours":22.79195864094216,"quality":"inauspicious"},{"name":"Chala","start":"22:48","end":"00:15","startHours":22.79195864094216,"endHours":24.243482151168898,"quality":"neutral"},{"name":"Labha","start":"00:15","end":"01:42","startHours":24.243482151168898,"endHours":25.695005661395637,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"03:09","startHours":25.695005661395637,"endHours":27.146529171622376,"quality":"auspicious"},{"name":"Kāla","start":"03:09","end":"04:36","startHours":27.146529171622376,"endHours":28.59805268184912,"quality":"inauspicious"},{"name":"Śubha","start":"04:36","end":"06:03","startHours":28.59805268184912,"endHours":30.049576192075854,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.049576192075856,"endHours":7.049576192075856,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.049576192075856,"endHours":8.049576192075856,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.049576192075856,"endHours":9.049576192075856,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.049576192075856,"endHours":10.049576192075856,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.049576192075856,"endHours":11.049576192075856,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.049576192075856,"endHours":12.049576192075856,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.049576192075856,"endHours":13.049576192075856,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.049576192075856,"endHours":14.049576192075856,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.049576192075856,"endHours":15.049576192075856,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.049576192075856,"endHours":16.049576192075854,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.049576192075854,"endHours":17.049576192075854,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.049576192075854,"endHours":18.049576192075854,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.049576192075854,"endHours":19.049576192075854,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.049576192075854,"endHours":20.049576192075854,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.049576192075854,"endHours":21.049576192075854,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.049576192075854,"endHours":22.049576192075854,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.049576192075854,"endHours":23.049576192075854,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.049576192075854,"endHours":24.049576192075854,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.049576192075854,"endHours":25.049576192075854,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.049576192075854,"endHours":26.049576192075854,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.049576192075854,"endHours":27.049576192075854,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.049576192075854,"endHours":28.049576192075854,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.049576192075854,"endHours":29.049576192075854,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.049576192075854,"endHours":30.049576192075854,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.760195110832672,"eotMinutes":4.753870929866006,"ayanamsa":26.3493}},"calendars":{"vikram_samvat":2235,"vikram_samvatsara":"Khara","saka_samvat":2100,"saka_samvatsara":"Bahudhānya","bengali_samvat":1585,"malayalam_era":1354,"nanakshahi_year":709,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","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":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Dvitīyā · Vikram 2235 Khara · Śaka 2100 Bahudhānya"},"festivals":[],"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,"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, 2178 CE · Vṛndāvana · Vidhyamitra","description":"September 13, 2178 CE for Vṛndāvana: Śukla Dvitīyā, sūryodaya 06:03, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2178-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2178-09-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2178-09-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2178-09-13","x-default":"https://vidhyamitra.com/city/vrindavan/2178-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T09:39:22.095Z","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":"2026-05-31T09:39:22.095Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T09:39:22.095Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}