{"id":"vidhyamitra:city-day:vrindavan:2103-09-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2103-09-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-09-05","date_display":"September 5, 2103 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":2103,"month":9,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489411.770833,"kali_year":5205,"ahargana":1900946.2708,"sun":{"sidereal_longitude":135.6664,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":176.0971,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.4307,"elapsed_within_tithi_degrees":4.4307},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.0971,"elapsed_within_degrees":2.7637},"yoga":{"number":24,"name":"Śukla","sum_longitude":311.7635},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2103,"month":9,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489411.770833,"ahargana":1900946.2708,"kali_year":5205,"ayanamsa_lahiri":25.3013,"grahas":{"sun":{"sidereal_longitude":136.61112100000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":173.59752099999992,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":-4.4627},"mars":{"sidereal_longitude":63.968620999999985,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":117.13752099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":261.507921,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":92.31602099999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":210.01372100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":258.7186,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":78.7186,"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":2103,"month":9,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489411.770833,"kali_year":5205,"ahargana":1900946.2708,"sun":{"sidereal_longitude":135.6664,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":176.0971,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":40.4307,"elapsed_within_tithi_degrees":4.4307},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":176.0971,"elapsed_within_degrees":2.7637},"yoga":{"number":24,"name":"Śukla","sum_longitude":311.7635},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.463,"elongation":40.431},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.463,"opposition_distance":139.569}},"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":"05:59","sunsetLocal":"18:36","solarNoonLocal":"12:18","dayLengthHours":12.623176883875548,"dayLengthDisplay":"12 Hours 37 Mins 23 Secs","nightLengthDisplay":"11 Hours 22 Mins 37 Secs","moonriseLocal":"08:58","moonsetLocal":"20:33","rahuKala":{"name":"Rāhu Kāla","start":"12:18","end":"13:52","startHours":12.291922261865952,"endHours":13.869819372350396,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:33","end":"09:08","startHours":7.558230930412623,"endHours":9.136128040897066,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:43","end":"12:18","startHours":10.71402515138151,"endHours":12.291922261865952,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.92574175949914,"endHours":9.346514322294992,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:51","startHours":6.506299523422994,"endHours":6.842917573659675,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:43","startHours":11.871149699070102,"endHours":12.712694824661806,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:18","end":"05:08","startHours":4.297243568744773,"endHours":5.138788694336476,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:56","end":"05:59","startHours":4.928402412938551,"endHours":5.9803338199281795,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:14","startHours":14.395785075845211,"endHours":15.237330201436913,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.40351070380373,"endHours":18.803510703803727,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:08","startHours":18.603510703803728,"endHours":19.129476407298544,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.353510703803728,"endHours":20.103510703803728,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:43","startHours":23.871149699070106,"endHours":24.712694824661806,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:59","end":"07:33","startHours":5.9803338199281795,"endHours":7.558230930412623,"quality":"auspicious"},{"name":"Amṛta","start":"07:33","end":"09:08","startHours":7.558230930412623,"endHours":9.136128040897066,"quality":"auspicious"},{"name":"Kāla","start":"09:08","end":"10:43","startHours":9.136128040897066,"endHours":10.71402515138151,"quality":"inauspicious"},{"name":"Śubha","start":"10:43","end":"12:18","startHours":10.71402515138151,"endHours":12.291922261865952,"quality":"auspicious"},{"name":"Roga","start":"12:18","end":"13:52","startHours":12.291922261865952,"endHours":13.869819372350396,"quality":"inauspicious"},{"name":"Udveg","start":"13:52","end":"15:27","startHours":13.869819372350396,"endHours":15.447716482834842,"quality":"inauspicious"},{"name":"Chala","start":"15:27","end":"17:02","startHours":15.447716482834842,"endHours":17.025613593319285,"quality":"neutral"},{"name":"Labha","start":"17:02","end":"18:36","startHours":17.025613593319285,"endHours":18.603510703803728,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:36","end":"20:02","startHours":18.603510703803728,"endHours":20.025613593319285,"quality":"inauspicious"},{"name":"Chala","start":"20:02","end":"21:27","startHours":20.025613593319285,"endHours":21.447716482834842,"quality":"neutral"},{"name":"Labha","start":"21:27","end":"22:52","startHours":21.447716482834842,"endHours":22.8698193723504,"quality":"auspicious"},{"name":"Amṛta","start":"22:52","end":"00:18","startHours":22.8698193723504,"endHours":24.291922261865956,"quality":"auspicious"},{"name":"Kāla","start":"00:18","end":"01:43","startHours":24.291922261865956,"endHours":25.714025151381513,"quality":"inauspicious"},{"name":"Śubha","start":"01:43","end":"03:08","startHours":25.714025151381513,"endHours":27.136128040897066,"quality":"auspicious"},{"name":"Roga","start":"03:08","end":"04:33","startHours":27.136128040897066,"endHours":28.558230930412623,"quality":"inauspicious"},{"name":"Udveg","start":"04:33","end":"05:59","startHours":28.558230930412623,"endHours":29.98033381992818,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.9803338199281795,"endHours":6.9803338199281795,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.9803338199281795,"endHours":7.9803338199281795,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.9803338199281795,"endHours":8.98033381992818,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.98033381992818,"endHours":9.98033381992818,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.98033381992818,"endHours":10.98033381992818,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.98033381992818,"endHours":11.98033381992818,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.98033381992818,"endHours":12.98033381992818,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.98033381992818,"endHours":13.98033381992818,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.98033381992818,"endHours":14.98033381992818,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.98033381992818,"endHours":15.98033381992818,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.98033381992818,"endHours":16.98033381992818,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.98033381992818,"endHours":17.98033381992818,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.98033381992818,"endHours":18.98033381992818,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.98033381992818,"endHours":19.98033381992818,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.98033381992818,"endHours":20.98033381992818,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.98033381992818,"endHours":21.98033381992818,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.98033381992818,"endHours":22.98033381992818,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.98033381992818,"endHours":23.98033381992818,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.98033381992818,"endHours":24.98033381992818,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.98033381992818,"endHours":25.98033381992818,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.98033381992818,"endHours":26.98033381992818,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.98033381992818,"endHours":27.98033381992818,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.98033381992818,"endHours":28.98033381992818,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.98033381992818,"endHours":29.98033381992818,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Cara","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":7.093225281636931,"eotMinutes":1.8474642880427774,"ayanamsa":25.3013}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"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 Caturthī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[{"id":"ganesha-chaturthi","name":"Gaṇeśa Caturthī","name_sanskrit":"गणेश चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Gaṇeśa's birth day; 11-day festival in Maharashtra.","vrata":false,"detection":{"tithi_number":4,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":1},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 5, 2103 CE · Vṛndāvana · Vidhyamitra","description":"September 5, 2103 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 05:59, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2103-09-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2103-09-05","sa":"https://sa.vidhyamitra.com/city/vrindavan/2103-09-05","hi":"https://hi.vidhyamitra.com/city/vrindavan/2103-09-05","x-default":"https://vidhyamitra.com/city/vrindavan/2103-09-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T06:18:05.588Z","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":"2026-06-01T06:18:05.588Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T06:18:05.588Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}