{"id":"vidhyamitra:city-day:mathura:1867-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1867-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1867-08-31","date_display":"August 31, 1867 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1867,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403209.770833,"kali_year":4969,"ahargana":1814744.2708,"sun":{"sidereal_longitude":134.766,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":155.5753,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.8093,"elapsed_within_tithi_degrees":8.8093},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.5753,"elapsed_within_degrees":8.9086},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.3413},"karana":{"half_tithi_index":3,"name":"Kaulava"},"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":1867,"month":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2403209.770833,"ahargana":1814744.2708,"kali_year":4969,"ayanamsa_lahiri":22.0044,"grahas":{"sun":{"sidereal_longitude":135.134571,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":154.75287100000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":0.7389},"mars":{"sidereal_longitude":172.589471,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":122.97997099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":312.113871,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":130.12177099999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":207.673771,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":146.1154,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":326.1154,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1867,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403209.770833,"kali_year":4969,"ahargana":1814744.2708,"sun":{"sidereal_longitude":134.766,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":155.5753,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.8093,"elapsed_within_tithi_degrees":8.8093},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.5753,"elapsed_within_degrees":8.9086},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.3413},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.739,"elongation":20.809},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.739,"opposition_distance":159.191}},"eclipse_window_40days":[{"offset_days":14,"type":"lunar","occurs":true,"moon_latitude":-0.205,"opposition_distance":0.334}]},"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":"18:42","solarNoonLocal":"12:19","dayLengthHours":12.749687730868363,"dayLengthDisplay":"12 Hours 44 Mins 59 Secs","nightLengthDisplay":"11 Hours 15 Mins 01 Secs","moonriseLocal":"07:32","moonsetLocal":"19:43","rahuKala":{"name":"Rāhu Kāla","start":"09:08","end":"10:44","startHours":9.131904908559786,"endHours":10.725615874918333,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:55","end":"15:30","startHours":13.913037807635423,"endHours":15.50674877399397,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:57","end":"07:32","startHours":5.944482975842696,"endHours":7.538193942201241,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.919410113045315,"endHours":9.34439970407426,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.475719964628878,"endHours":6.815711637452035,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.894337250247933,"endHours":12.744316432305823,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:06","startHours":4.244524611726915,"endHours":5.0945037937848054,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:57","startHours":4.882008998270333,"endHours":5.944482975842696,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:18","startHours":14.444274796421606,"endHours":15.294253978479498,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:30","end":"18:54","startHours":18.49417070671106,"endHours":18.89417070671106,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:42","end":"19:14","startHours":18.69417070671106,"endHours":19.225407695497243,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:27","end":"20:12","startHours":18.44417070671106,"endHours":20.19417070671106,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.89433725024793,"endHours":24.744316432305823,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:57","end":"07:32","startHours":5.944482975842696,"endHours":7.538193942201241,"quality":"inauspicious"},{"name":"Śubha","start":"07:32","end":"09:08","startHours":7.538193942201241,"endHours":9.131904908559786,"quality":"auspicious"},{"name":"Roga","start":"09:08","end":"10:44","startHours":9.131904908559786,"endHours":10.725615874918333,"quality":"inauspicious"},{"name":"Udveg","start":"10:44","end":"12:19","startHours":10.725615874918333,"endHours":12.319326841276878,"quality":"inauspicious"},{"name":"Chala","start":"12:19","end":"13:55","startHours":12.319326841276878,"endHours":13.913037807635423,"quality":"neutral"},{"name":"Labha","start":"13:55","end":"15:30","startHours":13.913037807635423,"endHours":15.50674877399397,"quality":"auspicious"},{"name":"Amṛta","start":"15:30","end":"17:06","startHours":15.50674877399397,"endHours":17.100459740352512,"quality":"auspicious"},{"name":"Kāla","start":"17:06","end":"18:42","startHours":17.100459740352512,"endHours":18.69417070671106,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:42","end":"20:06","startHours":18.69417070671106,"endHours":20.100459740352512,"quality":"auspicious"},{"name":"Amṛta","start":"20:06","end":"21:30","startHours":20.100459740352512,"endHours":21.50674877399397,"quality":"auspicious"},{"name":"Kāla","start":"21:30","end":"22:55","startHours":21.50674877399397,"endHours":22.913037807635423,"quality":"inauspicious"},{"name":"Śubha","start":"22:55","end":"00:19","startHours":22.913037807635423,"endHours":24.319326841276876,"quality":"auspicious"},{"name":"Roga","start":"00:19","end":"01:44","startHours":24.319326841276876,"endHours":25.725615874918333,"quality":"inauspicious"},{"name":"Udveg","start":"01:44","end":"03:08","startHours":25.725615874918333,"endHours":27.131904908559786,"quality":"inauspicious"},{"name":"Chala","start":"03:08","end":"04:32","startHours":27.131904908559786,"endHours":28.53819394220124,"quality":"neutral"},{"name":"Labha","start":"04:32","end":"05:57","startHours":28.53819394220124,"endHours":29.944482975842696,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.944482975842696,"endHours":6.944482975842696,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.944482975842696,"endHours":7.944482975842696,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.944482975842696,"endHours":8.944482975842696,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.944482975842696,"endHours":9.944482975842696,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.944482975842696,"endHours":10.944482975842696,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.944482975842696,"endHours":11.944482975842696,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.944482975842696,"endHours":12.944482975842696,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.944482975842696,"endHours":13.944482975842696,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.944482975842696,"endHours":14.944482975842696,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.944482975842696,"endHours":15.944482975842696,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.944482975842696,"endHours":16.944482975842696,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.944482975842696,"endHours":17.944482975842696,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.944482975842696,"endHours":18.944482975842696,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.944482975842696,"endHours":19.944482975842696,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.944482975842696,"endHours":20.944482975842696,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.944482975842696,"endHours":21.944482975842696,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.944482975842696,"endHours":22.944482975842696,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.944482975842696,"endHours":23.944482975842696,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.944482975842696,"endHours":24.944482975842696,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.944482975842696,"endHours":25.944482975842696,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.944482975842696,"endHours":26.944482975842696,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.944482975842696,"endHours":27.944482975842696,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.944482975842696,"endHours":28.944482975842696,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.944482975842696,"endHours":29.944482975842696,"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Śrīvatsa","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":8.888842069084676,"eotMinutes":0.14558952338733633,"ayanamsa":22.0044}},"calendars":{"vikram_samvat":1924,"vikram_samvatsara":"Vikrama","saka_samvat":1789,"saka_samvatsara":"Prabhava","bengali_samvat":1274,"malayalam_era":1043,"nanakshahi_year":398,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","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 Śukla Dvitīyā · Vikram 1924 Vikrama · Śaka 1789 Prabhava"},"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":"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, 1867 CE · Mathurā · Vidhyamitra","description":"August 31, 1867 CE for Mathurā: Śukla Dvitīyā, sūryodaya 05:57, sūryāsta 18:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1867-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1867-08-31","sa":"https://sa.vidhyamitra.com/city/mathura/1867-08-31","hi":"https://hi.vidhyamitra.com/city/mathura/1867-08-31","x-default":"https://vidhyamitra.com/city/mathura/1867-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:21:10.452Z","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":"2026-08-10T12:21:10.452Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:21:10.452Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}