{"id":"vidhyamitra:city-day:mathura:2048-08-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2048-08-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-08-30","date_display":"August 30, 2048 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":2048,"month":8,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469318.770833,"kali_year":5150,"ahargana":1880853.2708,"sun":{"sidereal_longitude":132.0344,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":28.3767,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.3423,"elapsed_within_tithi_degrees":4.3423},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.3767,"elapsed_within_degrees":1.71},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.4111},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2048,"month":8,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469318.770833,"ahargana":1880853.2708,"kali_year":5150,"ayanamsa_lahiri":24.5328,"grahas":{"sun":{"sidereal_longitude":132.831122,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":28.777521999999976,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":2.5771},"mars":{"sidereal_longitude":234.723522,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":159.17942199999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":62.41832199999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":157.33142199999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":254.168322,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":243.3424,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":63.3424,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"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":2048,"month":8,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469318.770833,"kali_year":5150,"ahargana":1880853.2708,"sun":{"sidereal_longitude":132.0344,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":28.3767,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.3423,"elapsed_within_tithi_degrees":4.3423},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.3767,"elapsed_within_degrees":1.71},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.4111},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.577,"elongation":103.658},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.577,"opposition_distance":76.342}},"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":"18:42","solarNoonLocal":"12:19","dayLengthHours":12.743695972991944,"dayLengthDisplay":"12 Hours 44 Mins 37 Secs","nightLengthDisplay":"11 Hours 15 Mins 23 Secs","moonriseLocal":"22:40","moonsetLocal":"12:06","rahuKala":{"name":"Rāhu Kāla","start":"17:06","end":"18:42","startHours":17.103625845518177,"endHours":18.69658784214217,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:19","end":"13:55","startHours":12.324739855646197,"endHours":13.917701852270191,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:31","end":"17:06","startHours":15.510663848894183,"endHours":17.103625845518177,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.926420929515013,"endHours":9.35121079528141,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.483879201358223,"endHours":6.823711093971342,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.899949989879799,"endHours":12.749529721412594,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:06","startHours":4.253732406084634,"endHours":5.103312137617429,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:57","startHours":4.89091720473423,"endHours":5.952891869150226,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:18","startHours":14.448689184478187,"endHours":15.298268916010983,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:30","end":"18:54","startHours":18.49658784214217,"endHours":18.896587842142168,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:42","end":"19:14","startHours":18.69658784214217,"endHours":19.227575174350164,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:27","end":"20:12","startHours":18.44658784214217,"endHours":20.19658784214217,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.899949989879797,"endHours":24.749529721412596,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:57","end":"07:33","startHours":5.952891869150226,"endHours":7.545853865774219,"quality":"inauspicious"},{"name":"Chala","start":"07:33","end":"09:08","startHours":7.545853865774219,"endHours":9.13881586239821,"quality":"neutral"},{"name":"Labha","start":"09:08","end":"10:44","startHours":9.13881586239821,"endHours":10.731777859022205,"quality":"auspicious"},{"name":"Amṛta","start":"10:44","end":"12:19","startHours":10.731777859022205,"endHours":12.324739855646197,"quality":"auspicious"},{"name":"Kāla","start":"12:19","end":"13:55","startHours":12.324739855646197,"endHours":13.917701852270191,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:31","startHours":13.917701852270191,"endHours":15.510663848894183,"quality":"auspicious"},{"name":"Roga","start":"15:31","end":"17:06","startHours":15.510663848894183,"endHours":17.103625845518177,"quality":"inauspicious"},{"name":"Udveg","start":"17:06","end":"18:42","startHours":17.103625845518177,"endHours":18.69658784214217,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:42","end":"20:06","startHours":18.69658784214217,"endHours":20.103625845518174,"quality":"auspicious"},{"name":"Roga","start":"20:06","end":"21:31","startHours":20.103625845518174,"endHours":21.510663848894183,"quality":"inauspicious"},{"name":"Udveg","start":"21:31","end":"22:55","startHours":21.510663848894183,"endHours":22.91770185227019,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:19","startHours":22.91770185227019,"endHours":24.324739855646197,"quality":"neutral"},{"name":"Labha","start":"00:19","end":"01:44","startHours":24.324739855646197,"endHours":25.731777859022202,"quality":"auspicious"},{"name":"Amṛta","start":"01:44","end":"03:08","startHours":25.731777859022202,"endHours":27.13881586239821,"quality":"auspicious"},{"name":"Kāla","start":"03:08","end":"04:33","startHours":27.13881586239821,"endHours":28.54585386577422,"quality":"inauspicious"},{"name":"Śubha","start":"04:33","end":"05:57","startHours":28.54585386577422,"endHours":29.952891869150225,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.952891869150226,"endHours":6.952891869150226,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.952891869150226,"endHours":7.952891869150226,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.952891869150226,"endHours":8.952891869150225,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.952891869150225,"endHours":9.952891869150225,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.952891869150225,"endHours":10.952891869150225,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.952891869150225,"endHours":11.952891869150225,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.952891869150225,"endHours":12.952891869150225,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.952891869150225,"endHours":13.952891869150225,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.952891869150225,"endHours":14.952891869150225,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.952891869150225,"endHours":15.952891869150225,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.952891869150225,"endHours":16.952891869150225,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.952891869150225,"endHours":17.952891869150225,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.952891869150225,"endHours":18.952891869150225,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.952891869150225,"endHours":19.952891869150225,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.952891869150225,"endHours":20.952891869150225,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.952891869150225,"endHours":21.952891869150225,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.952891869150225,"endHours":22.952891869150225,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.952891869150225,"endHours":23.952891869150225,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.952891869150225,"endHours":24.952891869150225,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.952891869150225,"endHours":25.952891869150225,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.952891869150225,"endHours":26.952891869150225,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.952891869150225,"endHours":27.952891869150225,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.952891869150225,"endHours":28.952891869150225,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.952891869150225,"endHours":29.952891869150225,"planetary_lord":"Jupiter"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Dhūmra","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":8.805338126145507,"eotMinutes":-0.17919133877174764,"ayanamsa":24.5328}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Saptamī · Vikram 2105 Vṛṣa · Śaka 1970 Vibhava"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 August 30, 2048 CE · Mathurā · Vidhyamitra","description":"August 30, 2048 CE for Mathurā: Kṛṣṇa Saptamī, sūryodaya 05:57, sūryāsta 18:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2048-08-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2048-08-30","sa":"https://sa.vidhyamitra.com/city/mathura/2048-08-30","hi":"https://hi.vidhyamitra.com/city/mathura/2048-08-30","x-default":"https://vidhyamitra.com/city/mathura/2048-08-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:55:04.616Z","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":"2026-05-14T15:55:04.616Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:55:04.616Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}