{"id":"vidhyamitra:city-day:mathura:2038-04-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2038-04-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2038-04-17","date_display":"April 17, 2038 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":2038,"month":4,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465530.770833,"kali_year":5140,"ahargana":1877065.2708,"sun":{"sidereal_longitude":2.7943,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":150.3451,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.5508,"elapsed_within_tithi_degrees":3.5508},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.3451,"elapsed_within_degrees":3.6784},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.1394},"karana":{"half_tithi_index":24,"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":2038,"month":4,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465530.770833,"ahargana":1877065.2708,"kali_year":5140,"ayanamsa_lahiri":24.3879,"grahas":{"sun":{"sidereal_longitude":2.7595509999999877,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":148.60135100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":4.1197},"mars":{"sidereal_longitude":70.61015099999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":336.731851,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":85.95465100000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":318.2623510000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":134.888851,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":84.0489,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":264.0489,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva 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":2038,"month":4,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465530.770833,"kali_year":5140,"ahargana":1877065.2708,"sun":{"sidereal_longitude":2.7943,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":150.3451,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.5508,"elapsed_within_tithi_degrees":3.5508},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.3451,"elapsed_within_degrees":3.6784},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.1394},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.12,"elongation":147.551},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.12,"opposition_distance":32.449}},"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":"05:53","sunsetLocal":"18:45","solarNoonLocal":"12:19","dayLengthHours":12.86280689173301,"dayLengthDisplay":"12 Hours 51 Mins 46 Secs","nightLengthDisplay":"11 Hours 08 Mins 14 Secs","moonriseLocal":"15:54","moonsetLocal":"04:11","rahuKala":{"name":"Rāhu Kāla","start":"09:06","end":"10:43","startHours":9.10165079407125,"endHours":10.709501655537878,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:56","end":"15:32","startHours":13.92520337847113,"endHours":15.533054239937757,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:53","end":"07:30","startHours":5.885949071137999,"endHours":7.493799932604625,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.887270679209035,"endHours":9.316030908933469,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:46","startHours":6.42189935829354,"endHours":6.764907542073088,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:45","startHours":11.88859228728007,"endHours":12.746112746728937,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:10","end":"05:02","startHours":4.170908152240264,"endHours":5.028428611689131,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:49","end":"05:53","startHours":4.814048496826914,"endHours":5.885949071137999,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:19","startHours":14.461153665626671,"endHours":15.318674125075539,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:33","end":"18:57","startHours":18.54875596287101,"endHours":18.948755962871008,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:45","end":"19:17","startHours":18.74875596287101,"endHours":19.284706250026552,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:30","end":"20:15","startHours":18.49875596287101,"endHours":20.24875596287101,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:45","startHours":23.88859228728007,"endHours":24.746112746728933,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:53","end":"07:30","startHours":5.885949071137999,"endHours":7.493799932604625,"quality":"inauspicious"},{"name":"Śubha","start":"07:30","end":"09:06","startHours":7.493799932604625,"endHours":9.10165079407125,"quality":"auspicious"},{"name":"Roga","start":"09:06","end":"10:43","startHours":9.10165079407125,"endHours":10.709501655537878,"quality":"inauspicious"},{"name":"Udveg","start":"10:43","end":"12:19","startHours":10.709501655537878,"endHours":12.317352517004505,"quality":"inauspicious"},{"name":"Chala","start":"12:19","end":"13:56","startHours":12.317352517004505,"endHours":13.92520337847113,"quality":"neutral"},{"name":"Labha","start":"13:56","end":"15:32","startHours":13.92520337847113,"endHours":15.533054239937757,"quality":"auspicious"},{"name":"Amṛta","start":"15:32","end":"17:08","startHours":15.533054239937757,"endHours":17.140905101404382,"quality":"auspicious"},{"name":"Kāla","start":"17:08","end":"18:45","startHours":17.140905101404382,"endHours":18.74875596287101,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:45","end":"20:08","startHours":18.74875596287101,"endHours":20.140905101404382,"quality":"auspicious"},{"name":"Amṛta","start":"20:08","end":"21:32","startHours":20.140905101404382,"endHours":21.533054239937755,"quality":"auspicious"},{"name":"Kāla","start":"21:32","end":"22:56","startHours":21.533054239937755,"endHours":22.92520337847113,"quality":"inauspicious"},{"name":"Śubha","start":"22:56","end":"00:19","startHours":22.92520337847113,"endHours":24.317352517004505,"quality":"auspicious"},{"name":"Roga","start":"00:19","end":"01:43","startHours":24.317352517004505,"endHours":25.709501655537878,"quality":"inauspicious"},{"name":"Udveg","start":"01:43","end":"03:06","startHours":25.709501655537878,"endHours":27.10165079407125,"quality":"inauspicious"},{"name":"Chala","start":"03:06","end":"04:30","startHours":27.10165079407125,"endHours":28.493799932604624,"quality":"neutral"},{"name":"Labha","start":"04:30","end":"05:53","startHours":28.493799932604624,"endHours":29.885949071138,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.885949071137999,"endHours":6.885949071137999,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.885949071137999,"endHours":7.885949071137999,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.885949071137999,"endHours":8.885949071137999,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.885949071137999,"endHours":9.885949071137999,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.885949071137999,"endHours":10.885949071137999,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.885949071137999,"endHours":11.885949071137999,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.885949071137999,"endHours":12.885949071137999,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.885949071137999,"endHours":13.885949071137999,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.885949071137999,"endHours":14.885949071137999,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.885949071137999,"endHours":15.885949071137999,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.885949071137999,"endHours":16.885949071138,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.885949071138,"endHours":17.885949071138,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.885949071138,"endHours":18.885949071138,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.885949071138,"endHours":19.885949071138,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.885949071138,"endHours":20.885949071138,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.885949071138,"endHours":21.885949071138,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.885949071138,"endHours":22.885949071138,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.885949071138,"endHours":23.885949071138,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.885949071138,"endHours":24.885949071138,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.885949071138,"endHours":25.885949071138,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.885949071138,"endHours":26.885949071138,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.885949071138,"endHours":27.885949071138,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.885949071138,"endHours":28.885949071138,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.885949071138,"endHours":29.885949071138,"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.455870548186102,"eotMinutes":0.2640489797298191,"ayanamsa":24.3879}},"calendars":{"vikram_samvat":2095,"vikram_samvatsara":"Prajāpati","saka_samvat":1960,"saka_samvatsara":"Kālayukta","bengali_samvat":1445,"malayalam_era":1214,"nanakshahi_year":569,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","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":"Caitra Śukla Trayodaśī · Vikram 2095 Prajāpati · Śaka 1960 Kālayukta"},"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":"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; 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 April 17, 2038 CE · Mathurā · Vidhyamitra","description":"April 17, 2038 CE for Mathurā: Śukla Trayodaśī, sūryodaya 05:53, sūryāsta 18:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2038-04-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2038-04-17","sa":"https://sa.vidhyamitra.com/city/mathura/2038-04-17","hi":"https://hi.vidhyamitra.com/city/mathura/2038-04-17","x-default":"https://vidhyamitra.com/city/mathura/2038-04-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-26T06:09:37.186Z","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":"2026-08-26T06:09:37.187Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-26T06:09:37.187Z","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"}}}