{"id":"vidhyamitra:city-day:mathura:2015-09-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2015-09-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-09-04","date_display":"September 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457269.770833,"kali_year":5117,"ahargana":1868804.2708,"sun":{"sidereal_longitude":136.4101,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":25.8801,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.47,"elapsed_within_tithi_degrees":9.47},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.8801,"elapsed_within_degrees":12.5468},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.2902},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457269.770833,"ahargana":1868804.2708,"kali_year":5117,"ayanamsa_lahiri":24.072,"grahas":{"sun":{"sidereal_longitude":137.14268200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":29.672482000000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":-3.1313},"mars":{"sidereal_longitude":112.46318200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":164.029182,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":130.29598199999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":110.08798200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":214.84678200000008,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":161.7564,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":341.7564,"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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457269.770833,"kali_year":5117,"ahargana":1868804.2708,"sun":{"sidereal_longitude":136.4101,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":25.8801,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.47,"elapsed_within_tithi_degrees":9.47},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.8801,"elapsed_within_degrees":12.5468},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":162.2902},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.131,"elongation":110.53},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.131,"opposition_distance":69.47}},"eclipse_window_40days":[{"offset_days":9,"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":"18:37","solarNoonLocal":"12:18","dayLengthHours":12.640404329711236,"dayLengthDisplay":"12 Hours 38 Mins 25 Secs","nightLengthDisplay":"11 Hours 21 Mins 35 Secs","moonriseLocal":"22:25","moonsetLocal":"11:51","rahuKala":{"name":"Rāhu Kāla","start":"10:43","end":"12:18","startHours":10.716738857165161,"endHours":12.296789398379065,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:27","end":"17:02","startHours":15.456890480806875,"endHours":17.03694102202078,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:33","end":"09:08","startHours":7.556637774737353,"endHours":9.136688315951258,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.92601491045607,"endHours":9.347361721446443,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.503270747261416,"endHours":6.840348196053716,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:43","startHours":11.87544258738869,"endHours":12.71813620936944,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:17","end":"05:08","startHours":4.2911999895619495,"endHours":5.133893611542699,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:55","end":"05:59","startHours":4.923220206047512,"endHours":5.976587233523448,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:15","startHours":14.403523453330939,"endHours":15.246217075311687,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.416991563234685,"endHours":18.816991563234684,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:09","startHours":18.616991563234684,"endHours":19.143675076972652,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.366991563234684,"endHours":20.116991563234684,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:43","startHours":23.87544258738869,"endHours":24.71813620936944,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:59","end":"07:33","startHours":5.976587233523448,"endHours":7.556637774737353,"quality":"neutral"},{"name":"Labha","start":"07:33","end":"09:08","startHours":7.556637774737353,"endHours":9.136688315951258,"quality":"auspicious"},{"name":"Amṛta","start":"09:08","end":"10:43","startHours":9.136688315951258,"endHours":10.716738857165161,"quality":"auspicious"},{"name":"Kāla","start":"10:43","end":"12:18","startHours":10.716738857165161,"endHours":12.296789398379065,"quality":"inauspicious"},{"name":"Śubha","start":"12:18","end":"13:53","startHours":12.296789398379065,"endHours":13.876839939592971,"quality":"auspicious"},{"name":"Roga","start":"13:53","end":"15:27","startHours":13.876839939592971,"endHours":15.456890480806875,"quality":"inauspicious"},{"name":"Udveg","start":"15:27","end":"17:02","startHours":15.456890480806875,"endHours":17.03694102202078,"quality":"inauspicious"},{"name":"Chala","start":"17:02","end":"18:37","startHours":17.03694102202078,"endHours":18.616991563234684,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:37","end":"20:02","startHours":18.616991563234684,"endHours":20.03694102202078,"quality":"inauspicious"},{"name":"Udveg","start":"20:02","end":"21:27","startHours":20.03694102202078,"endHours":21.456890480806877,"quality":"inauspicious"},{"name":"Chala","start":"21:27","end":"22:53","startHours":21.456890480806877,"endHours":22.87683993959297,"quality":"neutral"},{"name":"Labha","start":"22:53","end":"00:18","startHours":22.87683993959297,"endHours":24.296789398379065,"quality":"auspicious"},{"name":"Amṛta","start":"00:18","end":"01:43","startHours":24.296789398379065,"endHours":25.71673885716516,"quality":"auspicious"},{"name":"Kāla","start":"01:43","end":"03:08","startHours":25.71673885716516,"endHours":27.136688315951258,"quality":"inauspicious"},{"name":"Śubha","start":"03:08","end":"04:33","startHours":27.136688315951258,"endHours":28.556637774737354,"quality":"auspicious"},{"name":"Roga","start":"04:33","end":"05:59","startHours":28.556637774737354,"endHours":29.976587233523446,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.976587233523448,"endHours":6.976587233523448,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.976587233523448,"endHours":7.976587233523448,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.976587233523448,"endHours":8.976587233523448,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.976587233523448,"endHours":9.976587233523448,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.976587233523448,"endHours":10.976587233523448,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.976587233523448,"endHours":11.976587233523448,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.976587233523448,"endHours":12.976587233523448,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.976587233523448,"endHours":13.976587233523448,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.976587233523448,"endHours":14.976587233523448,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.976587233523448,"endHours":15.976587233523448,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.976587233523448,"endHours":16.976587233523446,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.976587233523446,"endHours":17.976587233523446,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.976587233523446,"endHours":18.976587233523446,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.976587233523446,"endHours":19.976587233523446,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.976587233523446,"endHours":20.976587233523446,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.976587233523446,"endHours":21.976587233523446,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.976587233523446,"endHours":22.976587233523446,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.976587233523446,"endHours":23.976587233523446,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.976587233523446,"endHours":24.976587233523446,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.976587233523446,"endHours":25.976587233523446,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.976587233523446,"endHours":26.976587233523446,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.976587233523446,"endHours":27.976587233523446,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.976587233523446,"endHours":28.976587233523446,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.976587233523446,"endHours":29.976587233523446,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Mausala","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":7.358601609244415,"eotMinutes":1.4978360972560227,"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 Ṣaṣṭhī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[{"id":"balarama-jayanti","name":"Balarāma Jayantī (Hala-Ṣaṣṭhī)","name_sanskrit":"बलराम जयन्ती","tradition":"Vaishnava","associated_deity":"Balarāma (Krishna's elder brother; ādi-śeṣa)","significance":"Birth of Bala-deva, Krishna's elder brother and Saṅkarṣaṇa.","vrata":true,"detection":{"tithi_number":21,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":3,"sources":["Bhāgavata 10.2-3"]},{"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 4, 2015 CE · Mathurā · Vidhyamitra","description":"September 4, 2015 CE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:59, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2015-09-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2015-09-04","sa":"https://sa.vidhyamitra.com/city/mathura/2015-09-04","hi":"https://hi.vidhyamitra.com/city/mathura/2015-09-04","x-default":"https://vidhyamitra.com/city/mathura/2015-09-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:36:33.540Z","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":"2026-05-14T19:36:33.540Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:36:33.540Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}