{"id":"vidhyamitra:city-day:mathura:2159-05-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2159-05-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-05-17","date_display":"May 17, 2159 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":2159,"month":5,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509754.770833,"kali_year":5261,"ahargana":1921289.2708,"sun":{"sidereal_longitude":29.5515,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":19.3457,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":349.7943,"elapsed_within_tithi_degrees":1.7943},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":19.3457,"elapsed_within_degrees":6.0124},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.8972},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"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":2159,"month":5,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509754.770833,"ahargana":1921289.2708,"kali_year":5261,"ayanamsa_lahiri":26.0793,"grahas":{"sun":{"sidereal_longitude":29.93996900000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":20.633869000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":3.9539},"mars":{"sidereal_longitude":248.366169,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":49.271569,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":156.98706900000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":71.42176899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":175.32336899999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":260.8485,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":80.8485,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"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":2159,"month":5,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509754.770833,"kali_year":5261,"ahargana":1921289.2708,"sun":{"sidereal_longitude":29.5515,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":19.3457,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":349.7943,"elapsed_within_tithi_degrees":1.7943},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":19.3457,"elapsed_within_degrees":6.0124},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.8972},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.954,"elongation":10.206},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.954,"opposition_distance":169.794}},"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":"05:30","sunsetLocal":"19:02","solarNoonLocal":"12:16","dayLengthHours":13.531753216064226,"dayLengthDisplay":"13 Hours 31 Mins 54 Secs","nightLengthDisplay":"10 Hours 28 Mins 06 Secs","moonriseLocal":"04:59","moonsetLocal":"18:17","rahuKala":{"name":"Rāhu Kāla","start":"13:57","end":"15:39","startHours":13.951207825441143,"endHours":15.642676977449172,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:30","end":"07:11","startHours":5.493862065401002,"endHours":7.18533121740903,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:53","end":"10:34","startHours":8.876800369417058,"endHours":10.568269521425087,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:06","startHours":8.651271149149322,"endHours":9.102329589684796,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:25","startHours":6.057685116070345,"endHours":6.418531868498724,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.808680232897641,"endHours":12.71079711396859,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:36","startHours":3.689628303259105,"endHours":4.591745184330054,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:30","startHours":4.366215964062317,"endHours":5.493862065401002,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:25","startHours":14.515030876110487,"endHours":15.417147757181436,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.82561528146523,"endHours":19.225615281465227,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:35","startHours":19.025615281465228,"endHours":19.58943833213457,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.775615281465228,"endHours":20.525615281465228,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.808680232897643,"endHours":24.71079711396859,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:30","end":"07:11","startHours":5.493862065401002,"endHours":7.18533121740903,"quality":"auspicious"},{"name":"Roga","start":"07:11","end":"08:53","startHours":7.18533121740903,"endHours":8.876800369417058,"quality":"inauspicious"},{"name":"Udveg","start":"08:53","end":"10:34","startHours":8.876800369417058,"endHours":10.568269521425087,"quality":"inauspicious"},{"name":"Chala","start":"10:34","end":"12:16","startHours":10.568269521425087,"endHours":12.259738673433116,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:57","startHours":12.259738673433116,"endHours":13.951207825441143,"quality":"auspicious"},{"name":"Amṛta","start":"13:57","end":"15:39","startHours":13.951207825441143,"endHours":15.642676977449172,"quality":"auspicious"},{"name":"Kāla","start":"15:39","end":"17:20","startHours":15.642676977449172,"endHours":17.3341461294572,"quality":"inauspicious"},{"name":"Śubha","start":"17:20","end":"19:02","startHours":17.3341461294572,"endHours":19.025615281465228,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:02","end":"20:20","startHours":19.025615281465228,"endHours":20.3341461294572,"quality":"auspicious"},{"name":"Kāla","start":"20:20","end":"21:39","startHours":20.3341461294572,"endHours":21.64267697744917,"quality":"inauspicious"},{"name":"Śubha","start":"21:39","end":"22:57","startHours":21.64267697744917,"endHours":22.951207825441145,"quality":"auspicious"},{"name":"Roga","start":"22:57","end":"00:16","startHours":22.951207825441145,"endHours":24.259738673433116,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:34","startHours":24.259738673433116,"endHours":25.568269521425087,"quality":"inauspicious"},{"name":"Chala","start":"01:34","end":"02:53","startHours":25.568269521425087,"endHours":26.876800369417058,"quality":"neutral"},{"name":"Labha","start":"02:53","end":"04:11","startHours":26.876800369417058,"endHours":28.18533121740903,"quality":"auspicious"},{"name":"Amṛta","start":"04:11","end":"05:30","startHours":28.18533121740903,"endHours":29.493862065401004,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.493862065401002,"endHours":6.493862065401002,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.493862065401002,"endHours":7.493862065401002,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.493862065401002,"endHours":8.493862065401002,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.493862065401002,"endHours":9.493862065401002,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.493862065401002,"endHours":10.493862065401002,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.493862065401002,"endHours":11.493862065401002,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.493862065401002,"endHours":12.493862065401002,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.493862065401002,"endHours":13.493862065401002,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.493862065401002,"endHours":14.493862065401002,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.493862065401002,"endHours":15.493862065401002,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.493862065401002,"endHours":16.493862065401004,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.493862065401004,"endHours":17.493862065401004,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.493862065401004,"endHours":18.493862065401004,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.493862065401004,"endHours":19.493862065401004,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.493862065401004,"endHours":20.493862065401004,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.493862065401004,"endHours":21.493862065401004,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.493862065401004,"endHours":22.493862065401004,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.493862065401004,"endHours":23.493862065401004,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.493862065401004,"endHours":24.493862065401004,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.493862065401004,"endHours":25.493862065401004,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.493862065401004,"endHours":26.493862065401004,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.493862065401004,"endHours":27.493862065401004,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.493862065401004,"endHours":28.493862065401004,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.493862065401004,"endHours":29.493862065401004,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","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":19.25723962977546,"eotMinutes":3.7208795940131294,"ayanamsa":26.0793}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","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":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Amāvasyā · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"vat-savitri-amavasya","name":"Vaṭa Sāvitrī Amāvasyā","name_sanskrit":"वट सावित्री अमावस्या","tradition":"Pan-Hindu","associated_deity":"Sāvitrī Devī","significance":"Sāvitrī's redemption of Satyavān from Yama; pati-vrata observance.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Jyeṣṭha"},"precedence":2,"sources":["Mahābhārata, Vana Parva — Sāvitrī Upākhyāna"]},{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛṣabha"},"precedence":5}],"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 Vaṭa Sāvitrī Amāvasyā · Vṛṣabha Saṅkrānti 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 17, 2159 CE · Mathurā · Vidhyamitra","description":"May 17, 2159 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:30, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2159-05-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2159-05-17","sa":"https://sa.vidhyamitra.com/city/mathura/2159-05-17","hi":"https://hi.vidhyamitra.com/city/mathura/2159-05-17","x-default":"https://vidhyamitra.com/city/mathura/2159-05-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-03T20:51:59.014Z","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":"2026-09-03T20:51:59.015Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-03T20:51:59.015Z","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"}}}