{"id":"vidhyamitra:city-day:vrindavan:2173-09-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2173-09-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2173-09-04","date_display":"September 4, 2173 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":2173,"month":9,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514978.770833,"kali_year":5275,"ahargana":1926513.2708,"sun":{"sidereal_longitude":134.5929,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":96.4244,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":321.8314,"elapsed_within_tithi_degrees":9.8314},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":96.4244,"elapsed_within_degrees":3.091},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.0173},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":2173,"month":9,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514978.770833,"ahargana":1926513.2708,"kali_year":5275,"ayanamsa_lahiri":26.2791,"grahas":{"sun":{"sidereal_longitude":135.70437400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":98.98247400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":4.1608},"mars":{"sidereal_longitude":110.53347399999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":160.42657399999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":222.852574,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":179.247074,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":344.48857399999997,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":344.0559,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":164.0559,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":2173,"month":9,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514978.770833,"kali_year":5275,"ahargana":1926513.2708,"sun":{"sidereal_longitude":134.5929,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":96.4244,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":321.8314,"elapsed_within_tithi_degrees":9.8314},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":96.4244,"elapsed_within_degrees":3.091},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.0173},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.161,"elongation":38.169},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.161,"opposition_distance":141.831}},"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":"18:37","solarNoonLocal":"12:18","dayLengthHours":12.621249532681391,"dayLengthDisplay":"12 Hours 37 Mins 16 Secs","nightLengthDisplay":"11 Hours 22 Mins 44 Secs","moonriseLocal":"03:07","moonsetLocal":"16:35","rahuKala":{"name":"Rāhu Kāla","start":"09:09","end":"10:43","startHours":9.142437015208719,"endHours":10.720093206793894,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:53","end":"15:27","startHours":13.875405589964242,"endHours":15.453061781549415,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:59","end":"07:34","startHours":5.9871246320383715,"endHours":7.564780823623545,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.932082856330696,"endHours":9.352791174086743,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:31","end":"06:51","startHours":6.513010029233429,"endHours":6.849576683438267,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:43","startHours":11.87704108062302,"endHours":12.718457716135113,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:18","end":"05:09","startHours":4.304291361014186,"endHours":5.145707996526279,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:56","end":"05:59","startHours":4.935353837648256,"endHours":5.9871246320383715,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:15","startHours":14.4012909871593,"endHours":15.242707622671393,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.408374164719763,"endHours":18.808374164719762,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:08","startHours":18.608374164719763,"endHours":19.13425956191482,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.358374164719763,"endHours":20.108374164719763,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:43","startHours":23.877041080623023,"endHours":24.718457716135113,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:59","end":"07:34","startHours":5.9871246320383715,"endHours":7.564780823623545,"quality":"inauspicious"},{"name":"Śubha","start":"07:34","end":"09:09","startHours":7.564780823623545,"endHours":9.142437015208719,"quality":"auspicious"},{"name":"Roga","start":"09:09","end":"10:43","startHours":9.142437015208719,"endHours":10.720093206793894,"quality":"inauspicious"},{"name":"Udveg","start":"10:43","end":"12:18","startHours":10.720093206793894,"endHours":12.297749398379068,"quality":"inauspicious"},{"name":"Chala","start":"12:18","end":"13:53","startHours":12.297749398379068,"endHours":13.875405589964242,"quality":"neutral"},{"name":"Labha","start":"13:53","end":"15:27","startHours":13.875405589964242,"endHours":15.453061781549415,"quality":"auspicious"},{"name":"Amṛta","start":"15:27","end":"17:02","startHours":15.453061781549415,"endHours":17.03071797313459,"quality":"auspicious"},{"name":"Kāla","start":"17:02","end":"18:37","startHours":17.03071797313459,"endHours":18.608374164719763,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:37","end":"20:02","startHours":18.608374164719763,"endHours":20.03071797313459,"quality":"auspicious"},{"name":"Amṛta","start":"20:02","end":"21:27","startHours":20.03071797313459,"endHours":21.453061781549415,"quality":"auspicious"},{"name":"Kāla","start":"21:27","end":"22:53","startHours":21.453061781549415,"endHours":22.87540558996424,"quality":"inauspicious"},{"name":"Śubha","start":"22:53","end":"00:18","startHours":22.87540558996424,"endHours":24.297749398379068,"quality":"auspicious"},{"name":"Roga","start":"00:18","end":"01:43","startHours":24.297749398379068,"endHours":25.720093206793894,"quality":"inauspicious"},{"name":"Udveg","start":"01:43","end":"03:09","startHours":25.720093206793894,"endHours":27.14243701520872,"quality":"inauspicious"},{"name":"Chala","start":"03:09","end":"04:34","startHours":27.14243701520872,"endHours":28.564780823623543,"quality":"neutral"},{"name":"Labha","start":"04:34","end":"05:59","startHours":28.564780823623543,"endHours":29.987124632038373,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.9871246320383715,"endHours":6.9871246320383715,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.9871246320383715,"endHours":7.9871246320383715,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.9871246320383715,"endHours":8.987124632038372,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.987124632038372,"endHours":9.987124632038372,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.987124632038372,"endHours":10.987124632038372,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.987124632038372,"endHours":11.987124632038372,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.987124632038372,"endHours":12.987124632038372,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.987124632038372,"endHours":13.987124632038372,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.987124632038372,"endHours":14.987124632038372,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.987124632038372,"endHours":15.987124632038372,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.987124632038372,"endHours":16.987124632038373,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.987124632038373,"endHours":17.987124632038373,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.987124632038373,"endHours":18.987124632038373,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.987124632038373,"endHours":19.987124632038373,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.987124632038373,"endHours":20.987124632038373,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.987124632038373,"endHours":21.987124632038373,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.987124632038373,"endHours":22.987124632038373,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.987124632038373,"endHours":23.987124632038373,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.987124632038373,"endHours":24.987124632038373,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.987124632038373,"endHours":25.987124632038373,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.987124632038373,"endHours":26.987124632038373,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.987124632038373,"endHours":27.987124632038373,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.987124632038373,"endHours":28.987124632038373,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.987124632038373,"endHours":29.987124632038373,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Prajāpati","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":7.066149859014151,"eotMinutes":1.4978360972560227,"ayanamsa":26.2791}},"calendars":{"vikram_samvat":2230,"vikram_samvatsara":"Vyaya","saka_samvat":2095,"saka_samvatsara":"Śrīmukha","bengali_samvat":1580,"malayalam_era":1349,"nanakshahi_year":704,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","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 Kṛṣṇa Dvādaśī · Vikram 2230 Vyaya · Śaka 2095 Śrīmukha"},"festivals":[],"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":[]},"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 4, 2173 CE · Vṛndāvana · Vidhyamitra","description":"September 4, 2173 CE for Vṛndāvana: Kṛṣṇa Dvādaśī, sūryodaya 05:59, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2173-09-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2173-09-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/2173-09-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/2173-09-04","x-default":"https://vidhyamitra.com/city/vrindavan/2173-09-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T21:46:44.544Z","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":"2026-06-02T21:46:44.544Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T21:46:44.544Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}