{"id":"vidhyamitra:city-day:mathura:2198-05-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2198-05-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2198-05-10","date_display":"May 10, 2198 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":2198,"month":5,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2523992.770833,"kali_year":5300,"ahargana":1935527.2708,"sun":{"sidereal_longitude":22.7398,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":68.0991,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.3592,"elapsed_within_tithi_degrees":9.3592},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.0991,"elapsed_within_degrees":1.4324},"yoga":{"number":7,"name":"Sukarma","sum_longitude":90.8389},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2198,"month":5,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2523992.770833,"ahargana":1935527.2708,"kali_year":5300,"ayanamsa_lahiri":26.6239,"grahas":{"sun":{"sidereal_longitude":23.17877299999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":64.66407300000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":-1.6586},"mars":{"sidereal_longitude":97.02827300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":31.988373000000024,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":272.716173,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":350.062673,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":290.56977299999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":226.4508,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":46.4508,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2198,"month":5,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2523992.770833,"kali_year":5300,"ahargana":1935527.2708,"sun":{"sidereal_longitude":22.7398,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":68.0991,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.3592,"elapsed_within_tithi_degrees":9.3592},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.0991,"elapsed_within_degrees":1.4324},"yoga":{"number":7,"name":"Sukarma","sum_longitude":90.8389},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.659,"elongation":45.359},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.659,"opposition_distance":134.641}},"eclipse_window_40days":[{"offset_days":11,"type":"lunar","occurs":true,"moon_latitude":-0.949,"opposition_distance":0.389}]},"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":"05:33","sunsetLocal":"18:58","solarNoonLocal":"12:16","dayLengthHours":13.407035757027192,"dayLengthDisplay":"13 Hours 24 Mins 25 Secs","nightLengthDisplay":"10 Hours 35 Mins 35 Secs","moonriseLocal":"08:06","moonsetLocal":"21:57","rahuKala":{"name":"Rāhu Kāla","start":"13:56","end":"15:37","startHours":13.936355705894174,"endHours":15.612235175522574,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:33","end":"07:14","startHours":5.55695835775218,"endHours":7.232837827380578,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:55","end":"10:35","startHours":8.908717297008977,"endHours":10.584596766637377,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.685266701058524,"endHours":9.13216789295943,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:28","startHours":6.115584847628313,"endHours":6.473105801149037,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:42","startHours":11.81357504436487,"endHours":12.707377428166682,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:40","startHours":3.769353590148554,"endHours":4.663155973950367,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:26","end":"05:33","startHours":4.439705377999914,"endHours":5.55695835775218,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:23","startHours":14.494982195770307,"endHours":15.38878457957212,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.763994114779372,"endHours":19.16399411477937,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:31","startHours":18.96399411477937,"endHours":19.522620604655504,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.71399411477937,"endHours":20.46399411477937,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:42","startHours":23.813575044364867,"endHours":24.70737742816668,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:33","end":"07:14","startHours":5.55695835775218,"endHours":7.232837827380578,"quality":"auspicious"},{"name":"Roga","start":"07:14","end":"08:55","startHours":7.232837827380578,"endHours":8.908717297008977,"quality":"inauspicious"},{"name":"Udveg","start":"08:55","end":"10:35","startHours":8.908717297008977,"endHours":10.584596766637377,"quality":"inauspicious"},{"name":"Chala","start":"10:35","end":"12:16","startHours":10.584596766637377,"endHours":12.260476236265776,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:56","startHours":12.260476236265776,"endHours":13.936355705894174,"quality":"auspicious"},{"name":"Amṛta","start":"13:56","end":"15:37","startHours":13.936355705894174,"endHours":15.612235175522574,"quality":"auspicious"},{"name":"Kāla","start":"15:37","end":"17:17","startHours":15.612235175522574,"endHours":17.288114645150973,"quality":"inauspicious"},{"name":"Śubha","start":"17:17","end":"18:58","startHours":17.288114645150973,"endHours":18.96399411477937,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:58","end":"20:17","startHours":18.96399411477937,"endHours":20.288114645150973,"quality":"auspicious"},{"name":"Kāla","start":"20:17","end":"21:37","startHours":20.288114645150973,"endHours":21.612235175522574,"quality":"inauspicious"},{"name":"Śubha","start":"21:37","end":"22:56","startHours":21.612235175522574,"endHours":22.936355705894176,"quality":"auspicious"},{"name":"Roga","start":"22:56","end":"00:16","startHours":22.936355705894176,"endHours":24.260476236265774,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:35","startHours":24.260476236265774,"endHours":25.584596766637375,"quality":"inauspicious"},{"name":"Chala","start":"01:35","end":"02:55","startHours":25.584596766637375,"endHours":26.908717297008977,"quality":"neutral"},{"name":"Labha","start":"02:55","end":"04:14","startHours":26.908717297008977,"endHours":28.23283782738058,"quality":"auspicious"},{"name":"Amṛta","start":"04:14","end":"05:33","startHours":28.23283782738058,"endHours":29.55695835775218,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.55695835775218,"endHours":6.55695835775218,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.55695835775218,"endHours":7.55695835775218,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.55695835775218,"endHours":8.55695835775218,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.55695835775218,"endHours":9.55695835775218,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.55695835775218,"endHours":10.55695835775218,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.55695835775218,"endHours":11.55695835775218,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.55695835775218,"endHours":12.55695835775218,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.55695835775218,"endHours":13.55695835775218,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.55695835775218,"endHours":14.55695835775218,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.55695835775218,"endHours":15.55695835775218,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.55695835775218,"endHours":16.55695835775218,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.55695835775218,"endHours":17.55695835775218,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.55695835775218,"endHours":18.55695835775218,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.55695835775218,"endHours":19.55695835775218,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.55695835775218,"endHours":20.55695835775218,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.55695835775218,"endHours":21.55695835775218,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.55695835775218,"endHours":22.55695835775218,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.55695835775218,"endHours":23.55695835775218,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.55695835775218,"endHours":24.55695835775218,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.55695835775218,"endHours":25.55695835775218,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.55695835775218,"endHours":26.55695835775218,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.55695835775218,"endHours":27.55695835775218,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.55695835775218,"endHours":28.55695835775218,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.55695835775218,"endHours":29.55695835775218,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.68589042065752,"eotMinutes":3.6766258240534686,"ayanamsa":26.6239}},"calendars":{"vikram_samvat":2255,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2120,"saka_samvatsara":"Vilambī","bengali_samvat":1605,"malayalam_era":1374,"nanakshahi_year":729,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Caturthī · Vikram 2255 Virodhakṛt · Śaka 2120 Vilambī"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Guruvāra (Thursday) — 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 May 10, 2198 CE · Mathurā · Vidhyamitra","description":"May 10, 2198 CE for Mathurā: Śukla Caturthī, sūryodaya 05:33, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2198-05-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2198-05-10","sa":"https://sa.vidhyamitra.com/city/mathura/2198-05-10","hi":"https://hi.vidhyamitra.com/city/mathura/2198-05-10","x-default":"https://vidhyamitra.com/city/mathura/2198-05-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T11:12:03.873Z","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":"2026-09-06T11:12:03.873Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T11:12:03.873Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}