{"id":"vidhyamitra:city-day:ranchi:2024-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2024-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2024-01-20","date_display":"January 20, 2024 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":2024,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460329.770833,"kali_year":5125,"ahargana":1871864.2708,"sun":{"sidereal_longitude":275.1319,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":26.6925,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":111.5606,"elapsed_within_tithi_degrees":3.5606},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":26.6925,"elapsed_within_degrees":0.0259},"yoga":{"number":23,"name":"Śubha","sum_longitude":301.8245},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2024,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2460329.770833,"ahargana":1871864.2708,"kali_year":5125,"ayanamsa_lahiri":24.189,"grahas":{"sun":{"sidereal_longitude":275.26596799999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":28.597868000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":2.0462},"mars":{"sidereal_longitude":257.08466799999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":252.449068,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":12.090967999999975,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":241.39266799999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":311.02176800000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":359.6229,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":179.6229,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"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":2024,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460329.770833,"kali_year":5125,"ahargana":1871864.2708,"sun":{"sidereal_longitude":275.1319,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":26.6925,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":111.5606,"elapsed_within_tithi_degrees":3.5606},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":26.6925,"elapsed_within_degrees":0.0259},"yoga":{"number":23,"name":"Śubha","sum_longitude":301.8245},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.046,"elongation":111.561},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.046,"opposition_distance":68.439}},"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":"06:32","sunsetLocal":"17:27","solarNoonLocal":"12:00","dayLengthHours":10.908069476925228,"dayLengthDisplay":"10 Hours 54 Mins 29 Secs","nightLengthDisplay":"13 Hours 05 Mins 31 Secs","moonriseLocal":"12:57","moonsetLocal":"02:09","rahuKala":{"name":"Rāhu Kāla","start":"09:16","end":"10:38","startHours":9.26841435305585,"endHours":10.631923037671502,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:22","end":"14:43","startHours":13.358940406902809,"endHours":14.722449091518463,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:32","end":"07:54","startHours":6.541396983824542,"endHours":7.904905668440195,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.086613195107095,"endHours":9.450215511004602,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.995899878696426,"endHours":7.2867817314144325,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:22","startHours":11.631829406389647,"endHours":12.359034038184662,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:49","startHours":5.086987720234511,"endHours":5.814192352029527,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.632391194080773,"endHours":6.541396983824542,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:32","startHours":13.813443301774694,"endHours":14.540647933569709,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.24946646074977,"endHours":17.649466460749768,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:54","startHours":17.44946646074977,"endHours":17.90396935562165,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.19946646074977,"endHours":18.94946646074977,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:22","startHours":23.631829406389645,"endHours":24.359034038184664,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:32","end":"07:54","startHours":6.541396983824542,"endHours":7.904905668440195,"quality":"inauspicious"},{"name":"Śubha","start":"07:54","end":"09:16","startHours":7.904905668440195,"endHours":9.26841435305585,"quality":"auspicious"},{"name":"Roga","start":"09:16","end":"10:38","startHours":9.26841435305585,"endHours":10.631923037671502,"quality":"inauspicious"},{"name":"Udveg","start":"10:38","end":"12:00","startHours":10.631923037671502,"endHours":11.995431722287154,"quality":"inauspicious"},{"name":"Chala","start":"12:00","end":"13:22","startHours":11.995431722287154,"endHours":13.358940406902809,"quality":"neutral"},{"name":"Labha","start":"13:22","end":"14:43","startHours":13.358940406902809,"endHours":14.722449091518463,"quality":"auspicious"},{"name":"Amṛta","start":"14:43","end":"16:05","startHours":14.722449091518463,"endHours":16.085957776134116,"quality":"auspicious"},{"name":"Kāla","start":"16:05","end":"17:27","startHours":16.085957776134116,"endHours":17.44946646074977,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:27","end":"19:05","startHours":17.44946646074977,"endHours":19.085957776134116,"quality":"auspicious"},{"name":"Amṛta","start":"19:05","end":"20:43","startHours":19.085957776134116,"endHours":20.722449091518463,"quality":"auspicious"},{"name":"Kāla","start":"20:43","end":"22:22","startHours":20.722449091518463,"endHours":22.358940406902807,"quality":"inauspicious"},{"name":"Śubha","start":"22:22","end":"00:00","startHours":22.358940406902807,"endHours":23.995431722287154,"quality":"auspicious"},{"name":"Roga","start":"00:00","end":"01:38","startHours":23.995431722287154,"endHours":25.631923037671502,"quality":"inauspicious"},{"name":"Udveg","start":"01:38","end":"03:16","startHours":25.631923037671502,"endHours":27.268414353055846,"quality":"inauspicious"},{"name":"Chala","start":"03:16","end":"04:54","startHours":27.268414353055846,"endHours":28.904905668440193,"quality":"neutral"},{"name":"Labha","start":"04:54","end":"06:32","startHours":28.904905668440193,"endHours":30.54139698382454,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.541396983824542,"endHours":7.541396983824542,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.541396983824542,"endHours":8.54139698382454,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.54139698382454,"endHours":9.54139698382454,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.54139698382454,"endHours":10.54139698382454,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.54139698382454,"endHours":11.54139698382454,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.54139698382454,"endHours":12.54139698382454,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.54139698382454,"endHours":13.54139698382454,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.54139698382454,"endHours":14.54139698382454,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.54139698382454,"endHours":15.54139698382454,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.54139698382454,"endHours":16.54139698382454,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.54139698382454,"endHours":17.54139698382454,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.54139698382454,"endHours":18.54139698382454,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.54139698382454,"endHours":19.54139698382454,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.54139698382454,"endHours":20.54139698382454,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.54139698382454,"endHours":21.54139698382454,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.54139698382454,"endHours":22.54139698382454,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.54139698382454,"endHours":23.54139698382454,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.54139698382454,"endHours":24.54139698382454,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.54139698382454,"endHours":25.54139698382454,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.54139698382454,"endHours":26.54139698382454,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.54139698382454,"endHours":27.54139698382454,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.54139698382454,"endHours":28.54139698382454,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.54139698382454,"endHours":29.54139698382454,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.54139698382454,"endHours":30.54139698382454,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.26254931876372,"eotMinutes":-10.9643033372293,"ayanamsa":24.189}},"calendars":{"vikram_samvat":2081,"vikram_samvatsara":"Piṅgala","saka_samvat":1946,"saka_samvatsara":"Krodhi","bengali_samvat":1431,"malayalam_era":1200,"nanakshahi_year":555,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Daśamī · Vikram 2081 Piṅgala · Śaka 1946 Krodhi"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 January 20, 2024 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 20, 2024 CE for Ranchi, Jharkhand: Śukla Daśamī, sūryodaya 06:32, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2024-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2024-01-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2024-01-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2024-01-20","x-default":"https://vidhyamitra.com/city/ranchi/2024-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-22T21:21:29.466Z","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":"2026-09-22T21:21:29.466Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-22T21:21:29.466Z","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"}}}