{"id":"vidhyamitra:city-day:mathura:2015-09-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2015-09-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-09-05","date_display":"September 5, 2015 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":2015,"month":9,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457270.770833,"kali_year":5117,"ahargana":1868805.2708,"sun":{"sidereal_longitude":137.3756,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":39.6576,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.282,"elapsed_within_tithi_degrees":10.282},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.6576,"elapsed_within_degrees":12.9909},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.0333},"karana":{"half_tithi_index":43,"name":"Bava"},"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":2015,"month":9,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457270.770833,"ahargana":1868805.2708,"kali_year":5117,"ayanamsa_lahiri":24.072,"grahas":{"sun":{"sidereal_longitude":138.11154399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":43.39964400000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-3.8132},"mars":{"sidereal_longitude":113.098344,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":164.99264399999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":130.51304399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":110.01584400000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":214.89874399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":161.7034,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":341.7034,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2015,"month":9,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457270.770833,"kali_year":5117,"ahargana":1868805.2708,"sun":{"sidereal_longitude":137.3756,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":39.6576,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.282,"elapsed_within_tithi_degrees":10.282},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.6576,"elapsed_within_degrees":12.9909},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.0333},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.813,"elongation":97.718},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.813,"opposition_distance":82.282}},"eclipse_window_40days":[{"offset_days":8,"type":"solar","occurs":true,"moon_latitude":-1.372,"elongation":1.608}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:59","sunsetLocal":"18:36","solarNoonLocal":"12:17","dayLengthHours":12.614222813728688,"dayLengthDisplay":"12 Hours 36 Mins 51 Secs","nightLengthDisplay":"11 Hours 23 Mins 09 Secs","moonriseLocal":"23:08","moonsetLocal":"12:49","rahuKala":{"name":"Rāhu Kāla","start":"09:08","end":"10:43","startHours":9.137406558433781,"endHours":10.714184410149866,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:52","end":"15:27","startHours":13.867740113582038,"endHours":15.444517965298125,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:59","end":"07:34","startHours":5.9838508550016085,"endHours":7.5606287067176945,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.927169511538303,"endHours":9.347643605329258,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:31","end":"06:51","startHours":6.509443472240304,"endHours":6.845822747273068,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:43","startHours":11.870488168074997,"endHours":12.71143635565691,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:18","end":"05:09","startHours":4.301954479837784,"endHours":5.142902667419696,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:56","end":"05:59","startHours":4.932665620524218,"endHours":5.9838508550016085,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:14","startHours":14.393332730820735,"endHours":15.234280918402646,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.398073668730298,"endHours":18.798073668730297,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:07","startHours":18.598073668730297,"endHours":19.123666285968994,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.348073668730297,"endHours":20.098073668730297,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:43","startHours":23.870488168074996,"endHours":24.71143635565691,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:59","end":"07:34","startHours":5.9838508550016085,"endHours":7.5606287067176945,"quality":"inauspicious"},{"name":"Śubha","start":"07:34","end":"09:08","startHours":7.5606287067176945,"endHours":9.137406558433781,"quality":"auspicious"},{"name":"Roga","start":"09:08","end":"10:43","startHours":9.137406558433781,"endHours":10.714184410149866,"quality":"inauspicious"},{"name":"Udveg","start":"10:43","end":"12:17","startHours":10.714184410149866,"endHours":12.290962261865953,"quality":"inauspicious"},{"name":"Chala","start":"12:17","end":"13:52","startHours":12.290962261865953,"endHours":13.867740113582038,"quality":"neutral"},{"name":"Labha","start":"13:52","end":"15:27","startHours":13.867740113582038,"endHours":15.444517965298125,"quality":"auspicious"},{"name":"Amṛta","start":"15:27","end":"17:01","startHours":15.444517965298125,"endHours":17.02129581701421,"quality":"auspicious"},{"name":"Kāla","start":"17:01","end":"18:36","startHours":17.02129581701421,"endHours":18.598073668730297,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:36","end":"20:01","startHours":18.598073668730297,"endHours":20.021295817014213,"quality":"auspicious"},{"name":"Amṛta","start":"20:01","end":"21:27","startHours":20.021295817014213,"endHours":21.444517965298125,"quality":"auspicious"},{"name":"Kāla","start":"21:27","end":"22:52","startHours":21.444517965298125,"endHours":22.867740113582038,"quality":"inauspicious"},{"name":"Śubha","start":"22:52","end":"00:17","startHours":22.867740113582038,"endHours":24.290962261865953,"quality":"auspicious"},{"name":"Roga","start":"00:17","end":"01:43","startHours":24.290962261865953,"endHours":25.71418441014987,"quality":"inauspicious"},{"name":"Udveg","start":"01:43","end":"03:08","startHours":25.71418441014987,"endHours":27.13740655843378,"quality":"inauspicious"},{"name":"Chala","start":"03:08","end":"04:34","startHours":27.13740655843378,"endHours":28.560628706717694,"quality":"neutral"},{"name":"Labha","start":"04:34","end":"05:59","startHours":28.560628706717694,"endHours":29.98385085500161,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.9838508550016085,"endHours":6.9838508550016085,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.9838508550016085,"endHours":7.9838508550016085,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.9838508550016085,"endHours":8.98385085500161,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.98385085500161,"endHours":9.98385085500161,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.98385085500161,"endHours":10.98385085500161,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.98385085500161,"endHours":11.98385085500161,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.98385085500161,"endHours":12.98385085500161,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.98385085500161,"endHours":13.98385085500161,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.98385085500161,"endHours":14.98385085500161,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.98385085500161,"endHours":15.98385085500161,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.98385085500161,"endHours":16.98385085500161,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.98385085500161,"endHours":17.98385085500161,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.98385085500161,"endHours":18.98385085500161,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.98385085500161,"endHours":19.98385085500161,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.98385085500161,"endHours":20.98385085500161,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.98385085500161,"endHours":21.98385085500161,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.98385085500161,"endHours":22.98385085500161,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.98385085500161,"endHours":23.98385085500161,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.98385085500161,"endHours":24.98385085500161,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.98385085500161,"endHours":25.98385085500161,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.98385085500161,"endHours":26.98385085500161,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.98385085500161,"endHours":27.98385085500161,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.98385085500161,"endHours":28.98385085500161,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.98385085500161,"endHours":29.98385085500161,"planetary_lord":"Mercury"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"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":6.989861246855268,"eotMinutes":1.8474642880427774,"ayanamsa":24.072}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Saptamī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[{"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":"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"mathura"},"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, 2015 CE · Mathurā · Vidhyamitra","description":"September 5, 2015 CE for Mathurā: Kṛṣṇa Saptamī, sūryodaya 05:59, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2015-09-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2015-09-05","sa":"https://sa.vidhyamitra.com/city/mathura/2015-09-05","hi":"https://hi.vidhyamitra.com/city/mathura/2015-09-05","x-default":"https://vidhyamitra.com/city/mathura/2015-09-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:59:46.835Z","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":"2026-05-14T15:59:46.835Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:59:46.835Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}