{"id":"vidhyamitra:city-day:ranchi:2065-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2065-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2065-07-20","date_display":"July 20, 2065 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":2065,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475486.770833,"kali_year":5167,"ahargana":1887021.2708,"sun":{"sidereal_longitude":92.5389,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":303.2317,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":210.6928,"elapsed_within_tithi_degrees":6.6928},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":303.2317,"elapsed_within_degrees":9.8984},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.7706},"karana":{"half_tithi_index":35,"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":2065,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475486.770833,"ahargana":1887021.2708,"kali_year":5167,"ayanamsa_lahiri":24.7687,"grahas":{"sun":{"sidereal_longitude":93.15585899999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":302.6433589999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":2.0202},"mars":{"sidereal_longitude":264.609159,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":95.048359,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":186.30555900000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":54.07245899999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":109.382159,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":276.5321,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":96.5321,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2065,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475486.770833,"kali_year":5167,"ahargana":1887021.2708,"sun":{"sidereal_longitude":92.5389,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":303.2317,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":210.6928,"elapsed_within_tithi_degrees":6.6928},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3,"moon_longitude":303.2317,"elapsed_within_degrees":9.8984},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.7706},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.02,"elongation":149.307},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.02,"opposition_distance":30.693}},"eclipse_window_40days":[{"offset_days":13,"type":"solar","occurs":true,"moon_latitude":-0.474,"elongation":2.983}]},"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":"05:14","sunsetLocal":"18:36","solarNoonLocal":"11:55","dayLengthHours":13.374193909424221,"dayLengthDisplay":"13 Hours 22 Mins 27 Secs","nightLengthDisplay":"10 Hours 37 Mins 33 Secs","moonriseLocal":"20:12","moonsetLocal":"07:34","rahuKala":{"name":"Rāhu Kāla","start":"06:54","end":"08:34","startHours":6.897274304218539,"endHours":8.569048542896567,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:14","end":"11:55","startHours":10.240822781574593,"endHours":11.912597020252623,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:35","end":"15:15","startHours":13.584371258930648,"endHours":15.256145497608678,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:21","end":"08:48","startHours":8.34614531107283,"endHours":8.791951774720303,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:47","end":"06:08","startHours":5.782758145099853,"endHours":6.139403316017833,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:22","startHours":11.46679055660515,"endHours":12.358403483900096,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:20","startHours":3.4422742109506146,"endHours":4.333887138245563,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:07","end":"05:14","startHours":4.110983906421826,"endHours":5.225500065540511,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"15:02","startHours":14.141629338489992,"endHours":15.03324226578494,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.399693974964734,"endHours":18.799693974964732,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:09","startHours":18.599693974964733,"endHours":19.156952054524076,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.349693974964733,"endHours":20.099693974964733,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:22","startHours":23.466790556605147,"endHours":24.358403483900098,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:14","end":"06:54","startHours":5.225500065540511,"endHours":6.897274304218539,"quality":"auspicious"},{"name":"Kāla","start":"06:54","end":"08:34","startHours":6.897274304218539,"endHours":8.569048542896567,"quality":"inauspicious"},{"name":"Śubha","start":"08:34","end":"10:14","startHours":8.569048542896567,"endHours":10.240822781574593,"quality":"auspicious"},{"name":"Roga","start":"10:14","end":"11:55","startHours":10.240822781574593,"endHours":11.912597020252623,"quality":"inauspicious"},{"name":"Udveg","start":"11:55","end":"13:35","startHours":11.912597020252623,"endHours":13.584371258930648,"quality":"inauspicious"},{"name":"Chala","start":"13:35","end":"15:15","startHours":13.584371258930648,"endHours":15.256145497608678,"quality":"neutral"},{"name":"Labha","start":"15:15","end":"16:56","startHours":15.256145497608678,"endHours":16.927919736286704,"quality":"auspicious"},{"name":"Amṛta","start":"16:56","end":"18:36","startHours":16.927919736286704,"endHours":18.599693974964733,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:36","end":"19:56","startHours":18.599693974964733,"endHours":19.927919736286704,"quality":"neutral"},{"name":"Labha","start":"19:56","end":"21:15","startHours":19.927919736286704,"endHours":21.256145497608678,"quality":"auspicious"},{"name":"Amṛta","start":"21:15","end":"22:35","startHours":21.256145497608678,"endHours":22.584371258930652,"quality":"auspicious"},{"name":"Kāla","start":"22:35","end":"23:55","startHours":22.584371258930652,"endHours":23.912597020252623,"quality":"inauspicious"},{"name":"Śubha","start":"23:55","end":"01:14","startHours":23.912597020252623,"endHours":25.240822781574593,"quality":"auspicious"},{"name":"Roga","start":"01:14","end":"02:34","startHours":25.240822781574593,"endHours":26.569048542896567,"quality":"inauspicious"},{"name":"Udveg","start":"02:34","end":"03:54","startHours":26.569048542896567,"endHours":27.89727430421854,"quality":"inauspicious"},{"name":"Chala","start":"03:54","end":"05:14","startHours":27.89727430421854,"endHours":29.225500065540512,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:14","end":"06:14","startHours":5.225500065540511,"endHours":6.225500065540511,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:14","end":"07:14","startHours":6.225500065540511,"endHours":7.225500065540511,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:14","end":"08:14","startHours":7.225500065540511,"endHours":8.225500065540512,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:14","end":"09:14","startHours":8.225500065540512,"endHours":9.225500065540512,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:14","end":"10:14","startHours":9.225500065540512,"endHours":10.225500065540512,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:14","end":"11:14","startHours":10.225500065540512,"endHours":11.225500065540512,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:14","end":"12:14","startHours":11.225500065540512,"endHours":12.225500065540512,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:14","end":"13:14","startHours":12.225500065540512,"endHours":13.225500065540512,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:14","end":"14:14","startHours":13.225500065540512,"endHours":14.225500065540512,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:14","end":"15:14","startHours":14.225500065540512,"endHours":15.225500065540512,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:14","end":"16:14","startHours":15.225500065540512,"endHours":16.225500065540512,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:14","end":"17:14","startHours":16.225500065540512,"endHours":17.225500065540512,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:14","end":"18:14","startHours":17.225500065540512,"endHours":18.225500065540512,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:14","end":"19:14","startHours":18.225500065540512,"endHours":19.225500065540512,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:14","end":"20:14","startHours":19.225500065540512,"endHours":20.225500065540512,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:14","end":"21:14","startHours":20.225500065540512,"endHours":21.225500065540512,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:14","end":"22:14","startHours":21.225500065540512,"endHours":22.225500065540512,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:14","end":"23:14","startHours":22.225500065540512,"endHours":23.225500065540512,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:14","end":"00:14","startHours":23.225500065540512,"endHours":24.225500065540512,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:14","end":"01:14","startHours":24.225500065540512,"endHours":25.225500065540512,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:14","end":"02:14","startHours":25.225500065540512,"endHours":26.225500065540512,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:14","end":"03:14","startHours":26.225500065540512,"endHours":27.225500065540512,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:14","end":"04:14","startHours":27.225500065540512,"endHours":28.225500065540512,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:14","end":"05:14","startHours":28.225500065540512,"endHours":29.225500065540512,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"Sushira","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.574344630917174,"eotMinutes":-5.99422121515736,"ayanamsa":24.7687}},"calendars":{"vikram_samvat":2122,"vikram_samvatsara":"Vilambī","saka_samvat":1987,"saka_samvatsara":"Pārthiva","bengali_samvat":1472,"malayalam_era":1241,"nanakshahi_year":596,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Tṛtīyā · Vikram 2122 Vilambī · Śaka 1987 Pārthiva"},"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":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 July 20, 2065 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 20, 2065 CE for Ranchi, Jharkhand: Kṛṣṇa Tṛtīyā, sūryodaya 05:14, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2065-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2065-07-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2065-07-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2065-07-20","x-default":"https://vidhyamitra.com/city/ranchi/2065-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T06:12:54.412Z","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":"2026-09-06T06:12:54.412Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T06:12:54.412Z","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"}}}