{"id":"vidhyamitra:city-day:mathura:2018-11-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2018-11-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-11-21","date_display":"November 21, 2018 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":2018,"month":11,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458443.770833,"kali_year":5120,"ahargana":1869978.2708,"sun":{"sidereal_longitude":213.9293,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":5.5258,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.5965,"elapsed_within_tithi_degrees":7.5965},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":5.5258,"elapsed_within_degrees":5.5258},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.4551},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2018,"month":11,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458443.770833,"ahargana":1869978.2708,"kali_year":5120,"ayanamsa_lahiri":24.1169,"grahas":{"sun":{"sidereal_longitude":214.550427,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":6.621426999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":-4.4889},"mars":{"sidereal_longitude":308.75492699999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":228.01262700000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":218.60222699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":181.29212699999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":252.556327,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":99.5522,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":279.5522,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":"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":2018,"month":11,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458443.770833,"kali_year":5120,"ahargana":1869978.2708,"sun":{"sidereal_longitude":213.9293,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":5.5258,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.5965,"elapsed_within_tithi_degrees":7.5965},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":5.5258,"elapsed_within_degrees":5.5258},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":219.4551},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.489,"elongation":151.597},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.489,"opposition_distance":28.403}},"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":"06:45","sunsetLocal":"17:27","solarNoonLocal":"12:06","dayLengthHours":10.690703012491689,"dayLengthDisplay":"10 Hours 41 Mins 27 Secs","nightLengthDisplay":"13 Hours 18 Mins 33 Secs","moonriseLocal":"15:47","moonsetLocal":"04:42","rahuKala":{"name":"Rāhu Kāla","start":"12:06","end":"13:26","startHours":12.097926080804907,"endHours":13.434263957366369,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:05","end":"09:26","startHours":8.088912451120525,"endHours":9.425250327681985,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:46","end":"12:06","startHours":10.761588204243445,"endHours":12.097926080804907,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:15","end":"09:36","startHours":9.247071944140457,"endHours":9.603428711223513,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:29","startHours":7.198020533412883,"endHours":7.483105947079328,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:27","startHours":11.74156931372185,"endHours":12.454282847887963,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:20","end":"06:02","startHours":5.327147506226837,"endHours":6.03986104039295,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:52","end":"06:45","startHours":5.861682656851422,"endHours":6.752574574559063,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:36","startHours":13.87970991622019,"endHours":14.592423450386303,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.243277587050752,"endHours":17.64327758705075,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.44327758705075,"endHours":17.888723545904572,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.19327758705075,"endHours":18.94327758705075,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:27","startHours":23.74156931372185,"endHours":24.454282847887963,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:45","end":"08:05","startHours":6.752574574559063,"endHours":8.088912451120525,"quality":"auspicious"},{"name":"Amṛta","start":"08:05","end":"09:26","startHours":8.088912451120525,"endHours":9.425250327681985,"quality":"auspicious"},{"name":"Kāla","start":"09:26","end":"10:46","startHours":9.425250327681985,"endHours":10.761588204243445,"quality":"inauspicious"},{"name":"Śubha","start":"10:46","end":"12:06","startHours":10.761588204243445,"endHours":12.097926080804907,"quality":"auspicious"},{"name":"Roga","start":"12:06","end":"13:26","startHours":12.097926080804907,"endHours":13.434263957366369,"quality":"inauspicious"},{"name":"Udveg","start":"13:26","end":"14:46","startHours":13.434263957366369,"endHours":14.770601833927829,"quality":"inauspicious"},{"name":"Chala","start":"14:46","end":"16:06","startHours":14.770601833927829,"endHours":16.10693971048929,"quality":"neutral"},{"name":"Labha","start":"16:06","end":"17:27","startHours":16.10693971048929,"endHours":17.44327758705075,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:27","end":"19:06","startHours":17.44327758705075,"endHours":19.10693971048929,"quality":"inauspicious"},{"name":"Chala","start":"19:06","end":"20:46","startHours":19.10693971048929,"endHours":20.770601833927827,"quality":"neutral"},{"name":"Labha","start":"20:46","end":"22:26","startHours":20.770601833927827,"endHours":22.43426395736637,"quality":"auspicious"},{"name":"Amṛta","start":"22:26","end":"00:06","startHours":22.43426395736637,"endHours":24.097926080804907,"quality":"auspicious"},{"name":"Kāla","start":"00:06","end":"01:46","startHours":24.097926080804907,"endHours":25.761588204243445,"quality":"inauspicious"},{"name":"Śubha","start":"01:46","end":"03:26","startHours":25.761588204243445,"endHours":27.425250327681987,"quality":"auspicious"},{"name":"Roga","start":"03:26","end":"05:05","startHours":27.425250327681987,"endHours":29.088912451120525,"quality":"inauspicious"},{"name":"Udveg","start":"05:05","end":"06:45","startHours":29.088912451120525,"endHours":30.752574574559063,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:45","end":"07:45","startHours":6.752574574559063,"endHours":7.752574574559063,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:45","end":"08:45","startHours":7.752574574559063,"endHours":8.752574574559063,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:45","end":"09:45","startHours":8.752574574559063,"endHours":9.752574574559063,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:45","end":"10:45","startHours":9.752574574559063,"endHours":10.752574574559063,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:45","end":"11:45","startHours":10.752574574559063,"endHours":11.752574574559063,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:45","end":"12:45","startHours":11.752574574559063,"endHours":12.752574574559063,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:45","end":"13:45","startHours":12.752574574559063,"endHours":13.752574574559063,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:45","end":"14:45","startHours":13.752574574559063,"endHours":14.752574574559063,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:45","end":"15:45","startHours":14.752574574559063,"endHours":15.752574574559063,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:45","end":"16:45","startHours":15.752574574559063,"endHours":16.752574574559063,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:45","end":"17:45","startHours":16.752574574559063,"endHours":17.752574574559063,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:45","end":"18:45","startHours":17.752574574559063,"endHours":18.752574574559063,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:45","end":"19:45","startHours":18.752574574559063,"endHours":19.752574574559063,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:45","end":"20:45","startHours":19.752574574559063,"endHours":20.752574574559063,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:45","end":"21:45","startHours":20.752574574559063,"endHours":21.752574574559063,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:45","end":"22:45","startHours":21.752574574559063,"endHours":22.752574574559063,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:45","end":"23:45","startHours":22.752574574559063,"endHours":23.752574574559063,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:45","end":"00:45","startHours":23.752574574559063,"endHours":24.752574574559063,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:45","end":"01:45","startHours":24.752574574559063,"endHours":25.752574574559063,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:45","end":"02:45","startHours":25.752574574559063,"endHours":26.752574574559063,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:45","end":"03:45","startHours":26.752574574559063,"endHours":27.752574574559063,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:45","end":"04:45","startHours":27.752574574559063,"endHours":28.752574574559063,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:45","end":"05:45","startHours":28.752574574559063,"endHours":29.752574574559063,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:45","end":"06:45","startHours":29.752574574559063,"endHours":30.752574574559063,"planetary_lord":"Sun"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.86031099266289,"eotMinutes":13.429635151705593,"ayanamsa":24.1169}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Trayodaśī · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Budhavāra (Wednesday) — 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 November 21, 2018 CE · Mathurā · Vidhyamitra","description":"November 21, 2018 CE for Mathurā: Śukla Trayodaśī, sūryodaya 06:45, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2018-11-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2018-11-21","sa":"https://sa.vidhyamitra.com/city/mathura/2018-11-21","hi":"https://hi.vidhyamitra.com/city/mathura/2018-11-21","x-default":"https://vidhyamitra.com/city/mathura/2018-11-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-24T12:19:45.904Z","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":"2026-08-24T12:19:45.904Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-24T12:19:45.904Z","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"}}}