{"id":"vidhyamitra:city-day:mathura:-0468-04-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-0468-04-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-04-02","date_display":"April 2, 469 BCE","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":-468,"month":4,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550212.770833,"kali_year":2634,"ahargana":961747.2708,"sun":{"sidereal_longitude":22.5905,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":317.3162,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":294.7258,"elapsed_within_tithi_degrees":6.7258},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.3162,"elapsed_within_degrees":10.6495},"yoga":{"number":26,"name":"Indra","sum_longitude":339.9067},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-468,"month":4,"day":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550212.770833,"ahargana":961747.2708,"kali_year":2634,"ayanamsa_lahiri":-10.6196,"grahas":{"sun":{"sidereal_longitude":22.5905,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":317.3162,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":-1.8777},"mars":{"sidereal_longitude":350.7647,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":354.8415,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":0.5208,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":37.257,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":121.0319,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":342.0013,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":162.0013,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":-468,"month":4,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550212.770833,"kali_year":2634,"ahargana":961747.2708,"sun":{"sidereal_longitude":22.5905,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":317.3162,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":294.7258,"elapsed_within_tithi_degrees":6.7258},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.3162,"elapsed_within_degrees":10.6495},"yoga":{"number":26,"name":"Indra","sum_longitude":339.9067},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.878,"elongation":65.274},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.878,"opposition_distance":114.726}},"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":"06:10","sunsetLocal":"18:37","solarNoonLocal":"12:23","dayLengthHours":12.454985982268543,"dayLengthDisplay":"12 Hours 27 Mins 18 Secs","nightLengthDisplay":"11 Hours 32 Mins 42 Secs","moonriseLocal":"02:40","moonsetLocal":"13:25","rahuKala":{"name":"Rāhu Kāla","start":"07:43","end":"09:17","startHours":7.718276333959629,"endHours":9.275149581743197,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:50","end":"12:23","startHours":10.832022829526766,"endHours":12.388896077310333,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:57","end":"15:30","startHours":13.9457693250939,"endHours":15.50264257287747,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:29","startHours":9.067566482038721,"endHours":9.482732681447674,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:01","startHours":6.680360835437251,"endHours":7.012493794964413,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:48","startHours":11.973729877901382,"endHours":12.804062276719284,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:30","end":"05:20","startHours":4.500738288540256,"endHours":5.331070687358159,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:07","end":"06:10","startHours":5.123487587653683,"endHours":6.161403086176062,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:18","startHours":14.46472707435509,"endHours":15.295059473172994,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.416389068444605,"endHours":18.816389068444604,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:08","startHours":18.616389068444605,"endHours":19.135346817705795,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.366389068444605,"endHours":20.116389068444605,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:48","startHours":23.973729877901384,"endHours":24.804062276719286,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:10","end":"07:43","startHours":6.161403086176062,"endHours":7.718276333959629,"quality":"auspicious"},{"name":"Kāla","start":"07:43","end":"09:17","startHours":7.718276333959629,"endHours":9.275149581743197,"quality":"inauspicious"},{"name":"Śubha","start":"09:17","end":"10:50","startHours":9.275149581743197,"endHours":10.832022829526766,"quality":"auspicious"},{"name":"Roga","start":"10:50","end":"12:23","startHours":10.832022829526766,"endHours":12.388896077310333,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"13:57","startHours":12.388896077310333,"endHours":13.9457693250939,"quality":"inauspicious"},{"name":"Chala","start":"13:57","end":"15:30","startHours":13.9457693250939,"endHours":15.50264257287747,"quality":"neutral"},{"name":"Labha","start":"15:30","end":"17:04","startHours":15.50264257287747,"endHours":17.059515820661037,"quality":"auspicious"},{"name":"Amṛta","start":"17:04","end":"18:37","startHours":17.059515820661037,"endHours":18.616389068444605,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:37","end":"20:04","startHours":18.616389068444605,"endHours":20.059515820661037,"quality":"neutral"},{"name":"Labha","start":"20:04","end":"21:30","startHours":20.059515820661037,"endHours":21.50264257287747,"quality":"auspicious"},{"name":"Amṛta","start":"21:30","end":"22:57","startHours":21.50264257287747,"endHours":22.9457693250939,"quality":"auspicious"},{"name":"Kāla","start":"22:57","end":"00:23","startHours":22.9457693250939,"endHours":24.388896077310335,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"01:50","startHours":24.388896077310335,"endHours":25.832022829526764,"quality":"auspicious"},{"name":"Roga","start":"01:50","end":"03:17","startHours":25.832022829526764,"endHours":27.275149581743197,"quality":"inauspicious"},{"name":"Udveg","start":"03:17","end":"04:43","startHours":27.275149581743197,"endHours":28.71827633395963,"quality":"inauspicious"},{"name":"Chala","start":"04:43","end":"06:10","startHours":28.71827633395963,"endHours":30.161403086176062,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:10","end":"07:10","startHours":6.161403086176062,"endHours":7.161403086176062,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:10","end":"08:10","startHours":7.161403086176062,"endHours":8.161403086176062,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:10","end":"09:10","startHours":8.161403086176062,"endHours":9.161403086176062,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:10","end":"10:10","startHours":9.161403086176062,"endHours":10.161403086176062,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:10","end":"11:10","startHours":10.161403086176062,"endHours":11.161403086176062,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:10","end":"12:10","startHours":11.161403086176062,"endHours":12.161403086176062,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:10","end":"13:10","startHours":12.161403086176062,"endHours":13.161403086176062,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:10","end":"14:10","startHours":13.161403086176062,"endHours":14.161403086176062,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:10","end":"15:10","startHours":14.161403086176062,"endHours":15.161403086176062,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:10","end":"16:10","startHours":15.161403086176062,"endHours":16.161403086176062,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:10","end":"17:10","startHours":16.161403086176062,"endHours":17.161403086176062,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:10","end":"18:10","startHours":17.161403086176062,"endHours":18.161403086176062,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:10","end":"19:10","startHours":18.161403086176062,"endHours":19.161403086176062,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:10","end":"20:10","startHours":19.161403086176062,"endHours":20.161403086176062,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:10","end":"21:10","startHours":20.161403086176062,"endHours":21.161403086176062,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:10","end":"22:10","startHours":21.161403086176062,"endHours":22.161403086176062,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:10","end":"23:10","startHours":22.161403086176062,"endHours":23.161403086176062,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:10","end":"00:10","startHours":23.161403086176062,"endHours":24.161403086176062,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:10","end":"01:10","startHours":24.161403086176062,"endHours":25.161403086176062,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:10","end":"02:10","startHours":25.161403086176062,"endHours":26.161403086176062,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:10","end":"03:10","startHours":26.161403086176062,"endHours":27.161403086176062,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:10","end":"04:10","startHours":27.161403086176062,"endHours":28.161403086176062,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:10","end":"05:10","startHours":28.161403086176062,"endHours":29.161403086176062,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:10","end":"06:10","startHours":29.161403086176062,"endHours":30.161403086176062,"planetary_lord":"Venus"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.7320289940192595,"eotMinutes":-4.028564638619968,"ayanamsa":-10.6196}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa 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 Kṛṣṇa Daśamī · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"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 2, 469 BCE · Mathurā · Vidhyamitra","description":"April 2, 469 BCE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 06:10, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-0468-04-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-0468-04-02","sa":"https://sa.vidhyamitra.com/city/mathura/-0468-04-02","hi":"https://hi.vidhyamitra.com/city/mathura/-0468-04-02","x-default":"https://vidhyamitra.com/city/mathura/-0468-04-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T02:47:54.815Z","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":"2026-08-11T02:47:54.815Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T02:47:54.815Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}