{"id":"vidhyamitra:city-day:haridwar:-0468-04-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/-0468-04-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-04-30","date_display":"April 30, 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":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550240.770833,"kali_year":2634,"ahargana":961775.2708,"sun":{"sidereal_longitude":49.3595,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":326.9946,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.635,"elapsed_within_tithi_degrees":1.635},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":326.9946,"elapsed_within_degrees":6.9946},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.3541},"karana":{"half_tithi_index":46,"name":"Taitila"},"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":30,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550240.770833,"ahargana":961775.2708,"kali_year":2634,"ayanamsa_lahiri":-10.6185,"grahas":{"sun":{"sidereal_longitude":49.3595,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":326.9946,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":-1.0513},"mars":{"sidereal_longitude":12.2859,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":34.817,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":6.1275,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":72.4137,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":122.2269,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":340.5178,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":160.5178,"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":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550240.770833,"kali_year":2634,"ahargana":961775.2708,"sun":{"sidereal_longitude":49.3595,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":326.9946,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.635,"elapsed_within_tithi_degrees":1.635},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":326.9946,"elapsed_within_degrees":6.9946},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.3541},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.051,"elongation":82.365},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.051,"opposition_distance":97.635}},"eclipse_window_40days":[]},"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:36","sunsetLocal":"18:53","solarNoonLocal":"12:15","dayLengthHours":13.269173992082383,"dayLengthDisplay":"13 Hours 16 Mins 09 Secs","nightLengthDisplay":"10 Hours 43 Mins 51 Secs","moonriseLocal":"01:20","moonsetLocal":"12:10","rahuKala":{"name":"Rāhu Kāla","start":"07:16","end":"08:56","startHours":7.266688733149071,"endHours":8.925335482159369,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:35","end":"12:15","startHours":10.583982231169665,"endHours":12.242628980179964,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:54","end":"15:34","startHours":13.901275729190262,"endHours":15.559922478200559,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:09","startHours":8.704182582291327,"endHours":9.146488382027407,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:31","startHours":6.160924233808871,"endHours":6.514768873597735,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:41","startHours":11.800323180443884,"endHours":12.684934779916043,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:50","end":"04:43","startHours":3.8388187851944546,"endHours":4.723430384666614,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:30","end":"05:36","startHours":4.502277484798574,"endHours":5.608041984138772,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:20","startHours":14.45415797886036,"endHours":15.338769578332519,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.677215976221156,"endHours":19.077215976221154,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.877215976221155,"endHours":19.430098225891253,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.627215976221155,"endHours":20.377215976221155,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:41","startHours":23.800323180443886,"endHours":24.684934779916045,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:36","end":"07:16","startHours":5.608041984138772,"endHours":7.266688733149071,"quality":"auspicious"},{"name":"Kāla","start":"07:16","end":"08:56","startHours":7.266688733149071,"endHours":8.925335482159369,"quality":"inauspicious"},{"name":"Śubha","start":"08:56","end":"10:35","startHours":8.925335482159369,"endHours":10.583982231169665,"quality":"auspicious"},{"name":"Roga","start":"10:35","end":"12:15","startHours":10.583982231169665,"endHours":12.242628980179964,"quality":"inauspicious"},{"name":"Udveg","start":"12:15","end":"13:54","startHours":12.242628980179964,"endHours":13.901275729190262,"quality":"inauspicious"},{"name":"Chala","start":"13:54","end":"15:34","startHours":13.901275729190262,"endHours":15.559922478200559,"quality":"neutral"},{"name":"Labha","start":"15:34","end":"17:13","startHours":15.559922478200559,"endHours":17.218569227210857,"quality":"auspicious"},{"name":"Amṛta","start":"17:13","end":"18:53","startHours":17.218569227210857,"endHours":18.877215976221155,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:53","end":"20:13","startHours":18.877215976221155,"endHours":20.218569227210857,"quality":"neutral"},{"name":"Labha","start":"20:13","end":"21:34","startHours":20.218569227210857,"endHours":21.55992247820056,"quality":"auspicious"},{"name":"Amṛta","start":"21:34","end":"22:54","startHours":21.55992247820056,"endHours":22.90127572919026,"quality":"auspicious"},{"name":"Kāla","start":"22:54","end":"00:15","startHours":22.90127572919026,"endHours":24.242628980179965,"quality":"inauspicious"},{"name":"Śubha","start":"00:15","end":"01:35","startHours":24.242628980179965,"endHours":25.583982231169664,"quality":"auspicious"},{"name":"Roga","start":"01:35","end":"02:56","startHours":25.583982231169664,"endHours":26.92533548215937,"quality":"inauspicious"},{"name":"Udveg","start":"02:56","end":"04:16","startHours":26.92533548215937,"endHours":28.26668873314907,"quality":"inauspicious"},{"name":"Chala","start":"04:16","end":"05:36","startHours":28.26668873314907,"endHours":29.608041984138772,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.608041984138772,"endHours":6.608041984138772,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.608041984138772,"endHours":7.608041984138772,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.608041984138772,"endHours":8.608041984138772,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.608041984138772,"endHours":9.608041984138772,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.608041984138772,"endHours":10.608041984138772,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.608041984138772,"endHours":11.608041984138772,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.608041984138772,"endHours":12.608041984138772,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.608041984138772,"endHours":13.608041984138772,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.608041984138772,"endHours":14.608041984138772,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.608041984138772,"endHours":15.608041984138772,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.608041984138772,"endHours":16.608041984138772,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.608041984138772,"endHours":17.608041984138772,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.608041984138772,"endHours":18.608041984138772,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.608041984138772,"endHours":19.608041984138772,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.608041984138772,"endHours":20.608041984138772,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.608041984138772,"endHours":21.608041984138772,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.608041984138772,"endHours":22.608041984138772,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.608041984138772,"endHours":23.608041984138772,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.608041984138772,"endHours":24.608041984138772,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.608041984138772,"endHours":25.608041984138772,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.608041984138772,"endHours":26.608041984138772,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.608041984138772,"endHours":27.608041984138772,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.608041984138772,"endHours":28.608041984138772,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.608041984138772,"endHours":29.608041984138772,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.412509637209014,"eotMinutes":2.785461189202204,"ayanamsa":-10.6185}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Navamī · 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":"haridwar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga April 30, 469 BCE · Haridwār · Vidhyamitra","description":"April 30, 469 BCE for Haridwār: Kṛṣṇa Navamī, sūryodaya 05:36, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/-0468-04-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/-0468-04-30","sa":"https://sa.vidhyamitra.com/city/haridwar/-0468-04-30","hi":"https://hi.vidhyamitra.com/city/haridwar/-0468-04-30","x-default":"https://vidhyamitra.com/city/haridwar/-0468-04-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T22:20:28.850Z","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":"2026-08-10T22:20:28.850Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T22:20:28.850Z","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"}}}