{"id":"vidhyamitra:city-day:ranchi:2029-04-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2029-04-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-04-02","date_display":"April 2, 2029 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":2029,"month":4,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462228.770833,"kali_year":5130,"ahargana":1873763.2708,"sun":{"sidereal_longitude":348.4231,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":207.3847,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.9617,"elapsed_within_tithi_degrees":2.9617},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.3847,"elapsed_within_degrees":7.3847},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.8078},"karana":{"half_tithi_index":36,"name":"Bava"},"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":2029,"month":4,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462228.770833,"ahargana":1873763.2708,"kali_year":5130,"ayanamsa_lahiri":24.2616,"grahas":{"sun":{"sidereal_longitude":348.32541200000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":209.90871200000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":-3.5262},"mars":{"sidereal_longitude":157.21711200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":354.492512,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":179.542512,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":350.277112,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":16.130111999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":259.0047,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":79.0047,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2029,"month":4,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462228.770833,"kali_year":5130,"ahargana":1873763.2708,"sun":{"sidereal_longitude":348.4231,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":207.3847,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.9617,"elapsed_within_tithi_degrees":2.9617},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.3847,"elapsed_within_degrees":7.3847},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.8078},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.526,"elongation":141.038},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.526,"opposition_distance":38.962}},"eclipse_window_40days":[]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"05:41","sunsetLocal":"18:05","solarNoonLocal":"11:53","dayLengthHours":12.408465102863497,"dayLengthDisplay":"12 Hours 24 Mins 30 Secs","nightLengthDisplay":"11 Hours 35 Mins 30 Secs","moonriseLocal":"21:10","moonsetLocal":"08:08","rahuKala":{"name":"Rāhu Kāla","start":"07:14","end":"08:47","startHours":7.226661663736521,"endHours":8.777719801594458,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:20","end":"11:53","startHours":10.328777939452396,"endHours":11.879836077310333,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:26","end":"14:59","startHours":13.43089421516827,"endHours":14.981952353026207,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"08:59","startHours":8.570912049880066,"endHours":8.98452755330885,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:31","startHours":6.192622905164563,"endHours":6.52351530790759,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:18","startHours":11.46622057388155,"endHours":12.293451580739116,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:51","startHours":4.021141512163451,"endHours":4.848372519021018,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:38","end":"05:41","startHours":4.641564767306626,"endHours":5.675603525878584,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:47","startHours":13.94791359445425,"endHours":14.775144601311816,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.88406862874208,"endHours":18.28406862874208,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:36","startHours":18.08406862874208,"endHours":18.60108800802806,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.83406862874208,"endHours":19.58406862874208,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:18","startHours":23.46622057388155,"endHours":24.293451580739116,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:41","end":"07:14","startHours":5.675603525878584,"endHours":7.226661663736521,"quality":"auspicious"},{"name":"Kāla","start":"07:14","end":"08:47","startHours":7.226661663736521,"endHours":8.777719801594458,"quality":"inauspicious"},{"name":"Śubha","start":"08:47","end":"10:20","startHours":8.777719801594458,"endHours":10.328777939452396,"quality":"auspicious"},{"name":"Roga","start":"10:20","end":"11:53","startHours":10.328777939452396,"endHours":11.879836077310333,"quality":"inauspicious"},{"name":"Udveg","start":"11:53","end":"13:26","startHours":11.879836077310333,"endHours":13.43089421516827,"quality":"inauspicious"},{"name":"Chala","start":"13:26","end":"14:59","startHours":13.43089421516827,"endHours":14.981952353026207,"quality":"neutral"},{"name":"Labha","start":"14:59","end":"16:32","startHours":14.981952353026207,"endHours":16.533010490884145,"quality":"auspicious"},{"name":"Amṛta","start":"16:32","end":"18:05","startHours":16.533010490884145,"endHours":18.08406862874208,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:05","end":"19:32","startHours":18.08406862874208,"endHours":19.533010490884145,"quality":"neutral"},{"name":"Labha","start":"19:32","end":"20:59","startHours":19.533010490884145,"endHours":20.981952353026205,"quality":"auspicious"},{"name":"Amṛta","start":"20:59","end":"22:26","startHours":20.981952353026205,"endHours":22.43089421516827,"quality":"auspicious"},{"name":"Kāla","start":"22:26","end":"23:53","startHours":22.43089421516827,"endHours":23.879836077310333,"quality":"inauspicious"},{"name":"Śubha","start":"23:53","end":"01:20","startHours":23.879836077310333,"endHours":25.328777939452394,"quality":"auspicious"},{"name":"Roga","start":"01:20","end":"02:47","startHours":25.328777939452394,"endHours":26.777719801594458,"quality":"inauspicious"},{"name":"Udveg","start":"02:47","end":"04:14","startHours":26.777719801594458,"endHours":28.22666166373652,"quality":"inauspicious"},{"name":"Chala","start":"04:14","end":"05:41","startHours":28.22666166373652,"endHours":29.675603525878586,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.675603525878584,"endHours":6.675603525878584,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.675603525878584,"endHours":7.675603525878584,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.675603525878584,"endHours":8.675603525878584,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.675603525878584,"endHours":9.675603525878584,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.675603525878584,"endHours":10.675603525878584,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.675603525878584,"endHours":11.675603525878584,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.675603525878584,"endHours":12.675603525878584,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.675603525878584,"endHours":13.675603525878584,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.675603525878584,"endHours":14.675603525878584,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.675603525878584,"endHours":15.675603525878584,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.675603525878584,"endHours":16.675603525878586,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.675603525878586,"endHours":17.675603525878586,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.675603525878586,"endHours":18.675603525878586,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.675603525878586,"endHours":19.675603525878586,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.675603525878586,"endHours":20.675603525878586,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.675603525878586,"endHours":21.675603525878586,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.675603525878586,"endHours":22.675603525878586,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.675603525878586,"endHours":23.675603525878586,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.675603525878586,"endHours":24.675603525878586,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.675603525878586,"endHours":25.675603525878586,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.675603525878586,"endHours":26.675603525878586,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.675603525878586,"endHours":27.675603525878586,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.675603525878586,"endHours":28.675603525878586,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.675603525878586,"endHours":29.675603525878586,"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.9723311705168145,"eotMinutes":-4.028564638619968,"ayanamsa":24.2616}},"calendars":{"vikram_samvat":2086,"vikram_samvatsara":"Dundubhi","saka_samvat":1951,"saka_samvatsara":"Saumya","bengali_samvat":1436,"malayalam_era":1205,"nanakshahi_year":560,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra (Adhika) Kṛṣṇa Caturthī · Vikram 2086 Dundubhi · Śaka 1951 Saumya"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"Dedicated festival walk for Saṅkaṣṭī Caturthī is not live yet; Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ranchi"},"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, 2029 CE · Ranchi, Jharkhand · Vidhyamitra","description":"April 2, 2029 CE for Ranchi, Jharkhand: Kṛṣṇa Caturthī, sūryodaya 05:41, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2029-04-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2029-04-02","sa":"https://sa.vidhyamitra.com/city/ranchi/2029-04-02","hi":"https://hi.vidhyamitra.com/city/ranchi/2029-04-02","x-default":"https://vidhyamitra.com/city/ranchi/2029-04-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T19:40:49.388Z","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":"2026-09-11T19:40:49.388Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T19:40:49.388Z","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"}}}