{"id":"vidhyamitra:city-day:mathura:2046-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2046-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2046-08-31","date_display":"August 31, 2046 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":2046,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468588.770833,"kali_year":5148,"ahargana":1880123.2708,"sun":{"sidereal_longitude":132.5327,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":122.0722,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":349.5395,"elapsed_within_tithi_degrees":1.5395},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.0722,"elapsed_within_degrees":2.0722},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.605},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"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":2046,"month":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468588.770833,"ahargana":1880123.2708,"kali_year":5148,"ayanamsa_lahiri":24.5049,"grahas":{"sun":{"sidereal_longitude":133.327113,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":123.09911299999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":-1.5414},"mars":{"sidereal_longitude":210.31661299999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":140.00901299999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":353.728613,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":120.567613,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":231.30401299999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":282.0213,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":102.0213,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2046,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468588.770833,"kali_year":5148,"ahargana":1880123.2708,"sun":{"sidereal_longitude":132.5327,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":122.0722,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":349.5395,"elapsed_within_tithi_degrees":1.5395},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.0722,"elapsed_within_degrees":2.0722},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.605},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.541,"elongation":10.461},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.541,"opposition_distance":169.539}},"eclipse_window_40days":[]},"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":"05:57","sunsetLocal":"18:41","solarNoonLocal":"12:19","dayLengthHours":12.731211961667833,"dayLengthDisplay":"12 Hours 43 Mins 52 Secs","nightLengthDisplay":"11 Hours 16 Mins 08 Secs","moonriseLocal":"05:09","moonsetLocal":"18:07","rahuKala":{"name":"Rāhu Kāla","start":"10:44","end":"12:19","startHours":10.7279253460684,"endHours":12.31932684127688,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:30","end":"17:06","startHours":15.502129831693837,"endHours":17.093531326902315,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:33","end":"09:08","startHours":7.545122355651441,"endHours":9.13652385085992,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.924336984832124,"endHours":9.348710716887718,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.484188025512455,"endHours":6.82368701115693,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.894953109221284,"endHours":12.743700573332472,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:06","startHours":4.256225932220584,"endHours":5.104973396331773,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:57","startHours":4.892786530303976,"endHours":5.953720860442962,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:17","startHours":14.44119550155485,"endHours":15.289942965666038,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:29","end":"18:53","startHours":18.484932822110796,"endHours":18.884932822110795,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:41","end":"19:13","startHours":18.684932822110795,"endHours":19.215399987180287,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:26","end":"20:11","startHours":18.434932822110795,"endHours":20.184932822110795,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.89495310922128,"endHours":24.74370057333247,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:57","end":"07:33","startHours":5.953720860442962,"endHours":7.545122355651441,"quality":"neutral"},{"name":"Labha","start":"07:33","end":"09:08","startHours":7.545122355651441,"endHours":9.13652385085992,"quality":"auspicious"},{"name":"Amṛta","start":"09:08","end":"10:44","startHours":9.13652385085992,"endHours":10.7279253460684,"quality":"auspicious"},{"name":"Kāla","start":"10:44","end":"12:19","startHours":10.7279253460684,"endHours":12.31932684127688,"quality":"inauspicious"},{"name":"Śubha","start":"12:19","end":"13:55","startHours":12.31932684127688,"endHours":13.910728336485358,"quality":"auspicious"},{"name":"Roga","start":"13:55","end":"15:30","startHours":13.910728336485358,"endHours":15.502129831693837,"quality":"inauspicious"},{"name":"Udveg","start":"15:30","end":"17:06","startHours":15.502129831693837,"endHours":17.093531326902315,"quality":"inauspicious"},{"name":"Chala","start":"17:06","end":"18:41","startHours":17.093531326902315,"endHours":18.684932822110795,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:41","end":"20:06","startHours":18.684932822110795,"endHours":20.093531326902315,"quality":"inauspicious"},{"name":"Udveg","start":"20:06","end":"21:30","startHours":20.093531326902315,"endHours":21.502129831693836,"quality":"inauspicious"},{"name":"Chala","start":"21:30","end":"22:55","startHours":21.502129831693836,"endHours":22.910728336485356,"quality":"neutral"},{"name":"Labha","start":"22:55","end":"00:19","startHours":22.910728336485356,"endHours":24.31932684127688,"quality":"auspicious"},{"name":"Amṛta","start":"00:19","end":"01:44","startHours":24.31932684127688,"endHours":25.7279253460684,"quality":"auspicious"},{"name":"Kāla","start":"01:44","end":"03:08","startHours":25.7279253460684,"endHours":27.13652385085992,"quality":"inauspicious"},{"name":"Śubha","start":"03:08","end":"04:33","startHours":27.13652385085992,"endHours":28.545122355651444,"quality":"auspicious"},{"name":"Roga","start":"04:33","end":"05:57","startHours":28.545122355651444,"endHours":29.953720860442964,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.953720860442962,"endHours":6.953720860442962,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.953720860442962,"endHours":7.953720860442962,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.953720860442962,"endHours":8.953720860442962,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.953720860442962,"endHours":9.953720860442962,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.953720860442962,"endHours":10.953720860442962,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.953720860442962,"endHours":11.953720860442962,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.953720860442962,"endHours":12.953720860442962,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.953720860442962,"endHours":13.953720860442962,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.953720860442962,"endHours":14.953720860442962,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.953720860442962,"endHours":15.953720860442962,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.953720860442962,"endHours":16.953720860442964,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.953720860442964,"endHours":17.953720860442964,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.953720860442964,"endHours":18.953720860442964,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.953720860442964,"endHours":19.953720860442964,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.953720860442964,"endHours":20.953720860442964,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.953720860442964,"endHours":21.953720860442964,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.953720860442964,"endHours":22.953720860442964,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.953720860442964,"endHours":23.953720860442964,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.953720860442964,"endHours":24.953720860442964,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.953720860442964,"endHours":25.953720860442964,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.953720860442964,"endHours":26.953720860442964,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.953720860442964,"endHours":27.953720860442964,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.953720860442964,"endHours":28.953720860442964,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.953720860442964,"endHours":29.953720860442964,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāladaṇḍa","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":8.631201669450922,"eotMinutes":0.14558952338733633,"ayanamsa":24.5049}},"calendars":{"vikram_samvat":2103,"vikram_samvatsara":"Pramāthi","saka_samvat":1968,"saka_samvatsara":"Akṣaya","bengali_samvat":1453,"malayalam_era":1222,"nanakshahi_year":577,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Amāvasyā · Vikram 2103 Pramāthi · Śaka 1968 Akṣaya"},"festivals":[{"id":"mahalaya-amavasya","name":"Mahālaya Amāvasyā (Sarvapitṛ Amāvasyā)","name_sanskrit":"महालय अमावस्या","tradition":"Pan-Hindu","associated_deity":"Pitṛ-deva","significance":"Final day of Pitṛ-Pakṣa; tarpaṇa for all ancestors.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":1},{"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 August 31, 2046 CE · Mathurā · Vidhyamitra","description":"August 31, 2046 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:57, sūryāsta 18:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2046-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2046-08-31","sa":"https://sa.vidhyamitra.com/city/mathura/2046-08-31","hi":"https://hi.vidhyamitra.com/city/mathura/2046-08-31","x-default":"https://vidhyamitra.com/city/mathura/2046-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:03:24.937Z","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":"2026-05-14T16:03:24.937Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:03:24.937Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}