{"id":"vidhyamitra:city-day:vrindavan:2159-09-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2159-09-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-09-05","date_display":"September 5, 2159 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":2159,"month":9,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509865.770833,"kali_year":5261,"ahargana":1921400.2708,"sun":{"sidereal_longitude":135.1934,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":43.9188,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":268.7255,"elapsed_within_tithi_degrees":4.7255},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":43.9188,"elapsed_within_degrees":3.9188},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.1122},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":2159,"month":9,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509865.770833,"ahargana":1921400.2708,"kali_year":5261,"ayanamsa_lahiri":26.0836,"grahas":{"sun":{"sidereal_longitude":136.27222800000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":43.41802799999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":2.3192},"mars":{"sidereal_longitude":244.42192799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":157.807228,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":167.81652800000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":88.42112800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":178.09452799999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":254.9672,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":74.9672,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"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":2159,"month":9,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509865.770833,"kali_year":5261,"ahargana":1921400.2708,"sun":{"sidereal_longitude":135.1934,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":43.9188,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":268.7255,"elapsed_within_tithi_degrees":4.7255},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":43.9188,"elapsed_within_degrees":3.9188},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.1122},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.319,"elongation":91.275},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.319,"opposition_distance":88.725}},"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":12.611143210366453,"dayLengthDisplay":"12 Hours 36 Mins 40 Secs","nightLengthDisplay":"11 Hours 23 Mins 20 Secs","moonriseLocal":"23:15","moonsetLocal":"12:57","rahuKala":{"name":"Rāhu Kāla","start":"12:18","end":"13:52","startHours":12.291922261865956,"endHours":13.86831516316176,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:34","end":"09:08","startHours":7.562743557978536,"endHours":9.139136459274342,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:43","end":"12:18","startHours":10.715529360570148,"endHours":12.291922261865956,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.928950739101568,"endHours":9.349322179447116,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:31","end":"06:51","startHours":6.511814957114664,"endHours":6.848112109391103,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:43","startHours":11.871550821520406,"endHours":12.712293702211502,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:18","end":"05:09","startHours":4.304864895300534,"endHours":5.145607775991632,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:56","end":"05:59","startHours":4.935422055818857,"endHours":5.9863506566827285,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:14","startHours":14.393779463593699,"endHours":15.234522344284796,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.39749386704918,"endHours":18.79749386704918,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:07","startHours":18.59749386704918,"endHours":19.122958167481116,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.34749386704918,"endHours":20.09749386704918,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:43","startHours":23.871550821520408,"endHours":24.712293702211504,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:59","end":"07:34","startHours":5.9863506566827285,"endHours":7.562743557978536,"quality":"auspicious"},{"name":"Amṛta","start":"07:34","end":"09:08","startHours":7.562743557978536,"endHours":9.139136459274342,"quality":"auspicious"},{"name":"Kāla","start":"09:08","end":"10:43","startHours":9.139136459274342,"endHours":10.715529360570148,"quality":"inauspicious"},{"name":"Śubha","start":"10:43","end":"12:18","startHours":10.715529360570148,"endHours":12.291922261865956,"quality":"auspicious"},{"name":"Roga","start":"12:18","end":"13:52","startHours":12.291922261865956,"endHours":13.86831516316176,"quality":"inauspicious"},{"name":"Udveg","start":"13:52","end":"15:27","startHours":13.86831516316176,"endHours":15.444708064457568,"quality":"inauspicious"},{"name":"Chala","start":"15:27","end":"17:01","startHours":15.444708064457568,"endHours":17.021100965753376,"quality":"neutral"},{"name":"Labha","start":"17:01","end":"18:36","startHours":17.021100965753376,"endHours":18.59749386704918,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:36","end":"20:01","startHours":18.59749386704918,"endHours":20.021100965753373,"quality":"inauspicious"},{"name":"Chala","start":"20:01","end":"21:27","startHours":20.021100965753373,"endHours":21.44470806445757,"quality":"neutral"},{"name":"Labha","start":"21:27","end":"22:52","startHours":21.44470806445757,"endHours":22.86831516316176,"quality":"auspicious"},{"name":"Amṛta","start":"22:52","end":"00:18","startHours":22.86831516316176,"endHours":24.291922261865956,"quality":"auspicious"},{"name":"Kāla","start":"00:18","end":"01:43","startHours":24.291922261865956,"endHours":25.715529360570148,"quality":"inauspicious"},{"name":"Śubha","start":"01:43","end":"03:08","startHours":25.715529360570148,"endHours":27.13913645927434,"quality":"auspicious"},{"name":"Roga","start":"03:08","end":"04:34","startHours":27.13913645927434,"endHours":28.562743557978536,"quality":"inauspicious"},{"name":"Udveg","start":"04:34","end":"05:59","startHours":28.562743557978536,"endHours":29.986350656682728,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.9863506566827285,"endHours":6.9863506566827285,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.9863506566827285,"endHours":7.9863506566827285,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.9863506566827285,"endHours":8.986350656682728,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.986350656682728,"endHours":9.986350656682728,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.986350656682728,"endHours":10.986350656682728,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.986350656682728,"endHours":11.986350656682728,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.986350656682728,"endHours":12.986350656682728,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.986350656682728,"endHours":13.986350656682728,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.986350656682728,"endHours":14.986350656682728,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.986350656682728,"endHours":15.986350656682728,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.986350656682728,"endHours":16.986350656682728,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.986350656682728,"endHours":17.986350656682728,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.986350656682728,"endHours":18.986350656682728,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.986350656682728,"endHours":19.986350656682728,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.986350656682728,"endHours":20.986350656682728,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.986350656682728,"endHours":21.986350656682728,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.986350656682728,"endHours":22.986350656682728,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.986350656682728,"endHours":23.986350656682728,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.986350656682728,"endHours":24.986350656682728,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.986350656682728,"endHours":25.986350656682728,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.986350656682728,"endHours":26.986350656682728,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.986350656682728,"endHours":27.986350656682728,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.986350656682728,"endHours":28.986350656682728,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.986350656682728,"endHours":29.986350656682728,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":6.924109024958337,"eotMinutes":1.8474642880427774,"ayanamsa":26.0836}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Aṣṭamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"krishna-janmashtami","name":"Krishna Janmāṣṭamī","name_sanskrit":"कृष्ण जन्माष्टमी","tradition":"Vaishnava","associated_deity":"Krishna (svayaṁ bhagavān)","deity_avatara_index":20,"significance":"Bhagavān Krishna manifested at Mathurā midnight on this exact tithi-nakshatra alignment in 3227 BCE.","vrata":true,"primary_observance":"Madhya-rātri (midnight) abhiṣekam in Mathurā tradition","detection":{"tithi_number":23,"tithi_paksha":"Kṛṣṇa","nakshatra_name":"Rohiṇī","lunar_month":"Bhādrapada"},"precedence":1,"related_chart":"krishna","historical_anchor":{"event":"Bhagavān Krishna's birth at Mathurā","date_julian":"-3226-07-09","location":"Mathurā"},"sources":["Bhāgavata Purāṇa 10.3"]},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"krishna-janmashtami-walk","name":"Krishna Janmāṣṭamī Walk","name_sanskrit":"कृष्ण जन्माष्टमी यात्रा","type":"festival","description":"Bhāgavata 10.3 (birth at Mathurā) + BG 4.7-8 + 10.8 (Krishna as svayaṁ bhagavān).","step_count":11,"url":"/walk/krishna-janmashtami-walk"},"reason":"Today is Krishna Janmāṣṭamī — its dedicated walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī + Rohiṇī","url":"/day/-3226-07-09","relevance":1}]},"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, 2159 CE · Vṛndāvana · Vidhyamitra","description":"September 5, 2159 CE for Vṛndāvana: Kṛṣṇa Aṣṭamī, sūryodaya 05:59, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2159-09-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2159-09-05","sa":"https://sa.vidhyamitra.com/city/vrindavan/2159-09-05","hi":"https://hi.vidhyamitra.com/city/vrindavan/2159-09-05","x-default":"https://vidhyamitra.com/city/vrindavan/2159-09-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T02:45:07.416Z","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":"2026-05-27T02:45:07.416Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-27T02:45:07.416Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}